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Finding the Fourth Proportional to 8,539.31, 12,784.05 and 5,242.41

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Solution

The fourth proportional to 8,539.31, 12,784.05 and 5,242.41 is: 7,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.31 : 12,784.05 = 5,242.41 : x
  2. Step 2: Convert to fraction form
    8,539.31/12,784.05 = 5,242.41/x
  3. Step 3: Cross multiply
    8,539.31x = 12,784.05 × 5,242.41
  4. Step 4: Simplify right side
    8,539.31x = 67,019,167.64
  5. Step 5: Solve for x
    x = 67,019,167.64/8,539.31
  6. Step 6: Final answer
    x = 7,848.32

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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.