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Finding the Fourth Proportional to 6,617.60, 9,926.40 and 4,284.80

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Solution

The fourth proportional to 6,617.60, 9,926.40 and 4,284.80 is: 6,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.60 : 9,926.40 = 4,284.80 : x
  2. Step 2: Convert to fraction form
    6,617.60/9,926.40 = 4,284.80/x
  3. Step 3: Cross multiply
    6,617.60x = 9,926.40 × 4,284.80
  4. Step 4: Simplify right side
    6,617.60x = 42,532,638.72
  5. Step 5: Solve for x
    x = 42,532,638.72/6,617.60
  6. Step 6: Final answer
    x = 6,427.20

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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.