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Finding the Fourth Proportional to 28,007.86, 42,007.29 and 9,287.14

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Solution

The fourth proportional to 28,007.86, 42,007.29 and 9,287.14 is: 13,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007.86 : 42,007.29 = 9,287.14 : x
  2. Step 2: Convert to fraction form
    28,007.86/42,007.29 = 9,287.14/x
  3. Step 3: Cross multiply
    28,007.86x = 42,007.29 × 9,287.14
  4. Step 4: Simplify right side
    28,007.86x = 390,127,583.25
  5. Step 5: Solve for x
    x = 390,127,583.25/28,007.86
  6. Step 6: Final answer
    x = 13,929.22

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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.