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Finding the Fourth Proportional to 10,458.64, 15,688.16 and 3,439

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Solution

The fourth proportional to 10,458.64, 15,688.16 and 3,439 is: 5,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.64 : 15,688.16 = 3,439 : x
  2. Step 2: Convert to fraction form
    10,458.64/15,688.16 = 3,439/x
  3. Step 3: Cross multiply
    10,458.64x = 15,688.16 × 3,439
  4. Step 4: Simplify right side
    10,458.64x = 53,951,582.24
  5. Step 5: Solve for x
    x = 53,951,582.24/10,458.64
  6. Step 6: Final answer
    x = 5,158.57

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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.