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Finding the Fourth Proportional to 31,590, 47,385 and 9,702

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Solution

The fourth proportional to 31,590, 47,385 and 9,702 is: 14,553

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590 : 47,385 = 9,702 : x
  2. Step 2: Convert to fraction form
    31,590/47,385 = 9,702/x
  3. Step 3: Cross multiply
    31,590x = 47,385 × 9,702
  4. Step 4: Simplify right side
    31,590x = 459,729,270
  5. Step 5: Solve for x
    x = 459,729,270/31,590
  6. Step 6: Final answer
    x = 14,553

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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.