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Finding the Fourth Proportional to 31,420, 47,130 and 9,532

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Solution

The fourth proportional to 31,420, 47,130 and 9,532 is: 14,298

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420 : 47,130 = 9,532 : x
  2. Step 2: Convert to fraction form
    31,420/47,130 = 9,532/x
  3. Step 3: Cross multiply
    31,420x = 47,130 × 9,532
  4. Step 4: Simplify right side
    31,420x = 449,243,160
  5. Step 5: Solve for x
    x = 449,243,160/31,420
  6. Step 6: Final answer
    x = 14,298

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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.