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Finding the Fourth Proportional to 34,491, 47,602.76 and 21,070

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Solution

The fourth proportional to 34,491, 47,602.76 and 21,070 is: 29,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491 : 47,602.76 = 21,070 : x
  2. Step 2: Convert to fraction form
    34,491/47,602.76 = 21,070/x
  3. Step 3: Cross multiply
    34,491x = 47,602.76 × 21,070
  4. Step 4: Simplify right side
    34,491x = 1,002,990,153.20
  5. Step 5: Solve for x
    x = 1,002,990,153.20/34,491
  6. Step 6: Final answer
    x = 29,079.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.