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Finding the Fourth Proportional to 8,353.98, 12,531.24 and 2,807.28

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Solution

The fourth proportional to 8,353.98, 12,531.24 and 2,807.28 is: 4,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.98 : 12,531.24 = 2,807.28 : x
  2. Step 2: Convert to fraction form
    8,353.98/12,531.24 = 2,807.28/x
  3. Step 3: Cross multiply
    8,353.98x = 12,531.24 × 2,807.28
  4. Step 4: Simplify right side
    8,353.98x = 35,178,699.43
  5. Step 5: Solve for x
    x = 35,178,699.43/8,353.98
  6. Step 6: Final answer
    x = 4,211.01

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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.