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Finding the Fourth Proportional to 28,871.84, 43,310 and 9,151.52

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Solution

The fourth proportional to 28,871.84, 43,310 and 9,151.52 is: 13,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,871.84 : 43,310 = 9,151.52 : x
  2. Step 2: Convert to fraction form
    28,871.84/43,310 = 9,151.52/x
  3. Step 3: Cross multiply
    28,871.84x = 43,310 × 9,151.52
  4. Step 4: Simplify right side
    28,871.84x = 396,352,331.20
  5. Step 5: Solve for x
    x = 396,352,331.20/28,871.84
  6. Step 6: Final answer
    x = 13,727.99

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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.