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Finding the Fourth Proportional to 9,164.80, 12,848 and 9,164.80

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Solution

The fourth proportional to 9,164.80, 12,848 and 9,164.80 is: 12,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.80 : 12,848 = 9,164.80 : x
  2. Step 2: Convert to fraction form
    9,164.80/12,848 = 9,164.80/x
  3. Step 3: Cross multiply
    9,164.80x = 12,848 × 9,164.80
  4. Step 4: Simplify right side
    9,164.80x = 117,749,350.40
  5. Step 5: Solve for x
    x = 117,749,350.40/9,164.80
  6. Step 6: Final answer
    x = 12,848

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.