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Finding the Fourth Proportional to 12,287.14, 18,430.52 and 7,358.14

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Solution

The fourth proportional to 12,287.14, 18,430.52 and 7,358.14 is: 11,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.14 : 18,430.52 = 7,358.14 : x
  2. Step 2: Convert to fraction form
    12,287.14/18,430.52 = 7,358.14/x
  3. Step 3: Cross multiply
    12,287.14x = 18,430.52 × 7,358.14
  4. Step 4: Simplify right side
    12,287.14x = 135,614,346.43
  5. Step 5: Solve for x
    x = 135,614,346.43/12,287.14
  6. Step 6: Final answer
    x = 11,037.10

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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.