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Finding the Fourth Proportional to 2,458.72, 3,688.08 and 1,432

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Solution

The fourth proportional to 2,458.72, 3,688.08 and 1,432 is: 2,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.72 : 3,688.08 = 1,432 : x
  2. Step 2: Convert to fraction form
    2,458.72/3,688.08 = 1,432/x
  3. Step 3: Cross multiply
    2,458.72x = 3,688.08 × 1,432
  4. Step 4: Simplify right side
    2,458.72x = 5,281,330.56
  5. Step 5: Solve for x
    x = 5,281,330.56/2,458.72
  6. Step 6: Final answer
    x = 2,148

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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.