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Finding the Fourth Proportional to 10,437.68, 15,658.86 and 3,512

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Solution

The fourth proportional to 10,437.68, 15,658.86 and 3,512 is: 5,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.68 : 15,658.86 = 3,512 : x
  2. Step 2: Convert to fraction form
    10,437.68/15,658.86 = 3,512/x
  3. Step 3: Cross multiply
    10,437.68x = 15,658.86 × 3,512
  4. Step 4: Simplify right side
    10,437.68x = 54,993,916.32
  5. Step 5: Solve for x
    x = 54,993,916.32/10,437.68
  6. Step 6: Final answer
    x = 5,268.79

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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.