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Finding the Fourth Proportional to 8,724.70, 12,045 and 6,731.02

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Solution

The fourth proportional to 8,724.70, 12,045 and 6,731.02 is: 9,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.70 : 12,045 = 6,731.02 : x
  2. Step 2: Convert to fraction form
    8,724.70/12,045 = 6,731.02/x
  3. Step 3: Cross multiply
    8,724.70x = 12,045 × 6,731.02
  4. Step 4: Simplify right side
    8,724.70x = 81,075,135.90
  5. Step 5: Solve for x
    x = 81,075,135.90/8,724.70
  6. Step 6: Final answer
    x = 9,292.60

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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.