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Finding the Fourth Proportional to 21,934.30, 32,894.09 and 7,139.74

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Solution

The fourth proportional to 21,934.30, 32,894.09 and 7,139.74 is: 10,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.30 : 32,894.09 = 7,139.74 : x
  2. Step 2: Convert to fraction form
    21,934.30/32,894.09 = 7,139.74/x
  3. Step 3: Cross multiply
    21,934.30x = 32,894.09 × 7,139.74
  4. Step 4: Simplify right side
    21,934.30x = 234,855,158.98
  5. Step 5: Solve for x
    x = 234,855,158.98/21,934.30
  6. Step 6: Final answer
    x = 10,707.21

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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.