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Finding the Fourth Proportional to 6,586.40, 9,879.60 and 1,656.20

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Solution

The fourth proportional to 6,586.40, 9,879.60 and 1,656.20 is: 2,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.40 : 9,879.60 = 1,656.20 : x
  2. Step 2: Convert to fraction form
    6,586.40/9,879.60 = 1,656.20/x
  3. Step 3: Cross multiply
    6,586.40x = 9,879.60 × 1,656.20
  4. Step 4: Simplify right side
    6,586.40x = 16,362,593.52
  5. Step 5: Solve for x
    x = 16,362,593.52/6,586.40
  6. Step 6: Final answer
    x = 2,484.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.