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Finding the Fourth Proportional to 28,956.65, 39,957.24 and 16,209

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Solution

The fourth proportional to 28,956.65, 39,957.24 and 16,209 is: 22,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956.65 : 39,957.24 = 16,209 : x
  2. Step 2: Convert to fraction form
    28,956.65/39,957.24 = 16,209/x
  3. Step 3: Cross multiply
    28,956.65x = 39,957.24 × 16,209
  4. Step 4: Simplify right side
    28,956.65x = 647,666,903.16
  5. Step 5: Solve for x
    x = 647,666,903.16/28,956.65
  6. Step 6: Final answer
    x = 22,366.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.