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Finding the Fourth Proportional to 10,288.68, 15,429.80 and 3,714

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Solution

The fourth proportional to 10,288.68, 15,429.80 and 3,714 is: 5,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.68 : 15,429.80 = 3,714 : x
  2. Step 2: Convert to fraction form
    10,288.68/15,429.80 = 3,714/x
  3. Step 3: Cross multiply
    10,288.68x = 15,429.80 × 3,714
  4. Step 4: Simplify right side
    10,288.68x = 57,306,277.20
  5. Step 5: Solve for x
    x = 57,306,277.20/10,288.68
  6. Step 6: Final answer
    x = 5,569.84

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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.