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Finding the Fourth Proportional to 10,923.30, 16,347.15 and 6,543.90

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Solution

The fourth proportional to 10,923.30, 16,347.15 and 6,543.90 is: 9,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.30 : 16,347.15 = 6,543.90 : x
  2. Step 2: Convert to fraction form
    10,923.30/16,347.15 = 6,543.90/x
  3. Step 3: Cross multiply
    10,923.30x = 16,347.15 × 6,543.90
  4. Step 4: Simplify right side
    10,923.30x = 106,974,114.89
  5. Step 5: Solve for x
    x = 106,974,114.89/10,923.30
  6. Step 6: Final answer
    x = 9,793.20

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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.