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Finding the Fourth Proportional to 31,842, 47,763 and 12,386

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Solution

The fourth proportional to 31,842, 47,763 and 12,386 is: 18,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842 : 47,763 = 12,386 : x
  2. Step 2: Convert to fraction form
    31,842/47,763 = 12,386/x
  3. Step 3: Cross multiply
    31,842x = 47,763 × 12,386
  4. Step 4: Simplify right side
    31,842x = 591,592,518
  5. Step 5: Solve for x
    x = 591,592,518/31,842
  6. Step 6: Final answer
    x = 18,579

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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.