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Finding the Fourth Proportional to 10,487.80, 15,731.88 and 2,696.68

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Solution

The fourth proportional to 10,487.80, 15,731.88 and 2,696.68 is: 4,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.80 : 15,731.88 = 2,696.68 : x
  2. Step 2: Convert to fraction form
    10,487.80/15,731.88 = 2,696.68/x
  3. Step 3: Cross multiply
    10,487.80x = 15,731.88 × 2,696.68
  4. Step 4: Simplify right side
    10,487.80x = 42,423,846.16
  5. Step 5: Solve for x
    x = 42,423,846.16/10,487.80
  6. Step 6: Final answer
    x = 4,045.07

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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.