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Finding the Fourth Proportional to 4,932.61, 7,397.81 and 1,421.84

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Solution

The fourth proportional to 4,932.61, 7,397.81 and 1,421.84 is: 2,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.61 : 7,397.81 = 1,421.84 : x
  2. Step 2: Convert to fraction form
    4,932.61/7,397.81 = 1,421.84/x
  3. Step 3: Cross multiply
    4,932.61x = 7,397.81 × 1,421.84
  4. Step 4: Simplify right side
    4,932.61x = 10,518,485.27
  5. Step 5: Solve for x
    x = 10,518,485.27/4,932.61
  6. Step 6: Final answer
    x = 2,132.44

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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.