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Finding the Fourth Proportional to 40,842, 61,263 and 13,140

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Solution

The fourth proportional to 40,842, 61,263 and 13,140 is: 19,710

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842 : 61,263 = 13,140 : x
  2. Step 2: Convert to fraction form
    40,842/61,263 = 13,140/x
  3. Step 3: Cross multiply
    40,842x = 61,263 × 13,140
  4. Step 4: Simplify right side
    40,842x = 804,995,820
  5. Step 5: Solve for x
    x = 804,995,820/40,842
  6. Step 6: Final answer
    x = 19,710

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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.