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Finding the Fourth Proportional to 21,170.04, 31,769.64 and 7,319.04

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Solution

The fourth proportional to 21,170.04, 31,769.64 and 7,319.04 is: 10,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.04 : 31,769.64 = 7,319.04 : x
  2. Step 2: Convert to fraction form
    21,170.04/31,769.64 = 7,319.04/x
  3. Step 3: Cross multiply
    21,170.04x = 31,769.64 × 7,319.04
  4. Step 4: Simplify right side
    21,170.04x = 232,523,265.95
  5. Step 5: Solve for x
    x = 232,523,265.95/21,170.04
  6. Step 6: Final answer
    x = 10,983.60

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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.