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Finding the Fourth Proportional to 10,077.30, 15,132.15 and 7,323.30

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Solution

The fourth proportional to 10,077.30, 15,132.15 and 7,323.30 is: 10,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.30 : 15,132.15 = 7,323.30 : x
  2. Step 2: Convert to fraction form
    10,077.30/15,132.15 = 7,323.30/x
  3. Step 3: Cross multiply
    10,077.30x = 15,132.15 × 7,323.30
  4. Step 4: Simplify right side
    10,077.30x = 110,817,274.10
  5. Step 5: Solve for x
    x = 110,817,274.10/10,077.30
  6. Step 6: Final answer
    x = 10,996.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.