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Finding the Fourth Proportional to 9,847.52, 13,585.20 and 6,486

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Solution

The fourth proportional to 9,847.52, 13,585.20 and 6,486 is: 8,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.52 : 13,585.20 = 6,486 : x
  2. Step 2: Convert to fraction form
    9,847.52/13,585.20 = 6,486/x
  3. Step 3: Cross multiply
    9,847.52x = 13,585.20 × 6,486
  4. Step 4: Simplify right side
    9,847.52x = 88,113,607.20
  5. Step 5: Solve for x
    x = 88,113,607.20/9,847.52
  6. Step 6: Final answer
    x = 8,947.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.