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Finding the Fourth Proportional to 28,224.71, 42,356.51 and 9,756.71

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Solution

The fourth proportional to 28,224.71, 42,356.51 and 9,756.71 is: 14,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.71 : 42,356.51 = 9,756.71 : x
  2. Step 2: Convert to fraction form
    28,224.71/42,356.51 = 9,756.71/x
  3. Step 3: Cross multiply
    28,224.71x = 42,356.51 × 9,756.71
  4. Step 4: Simplify right side
    28,224.71x = 413,260,184.68
  5. Step 5: Solve for x
    x = 413,260,184.68/28,224.71
  6. Step 6: Final answer
    x = 14,641.79

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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.