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Finding the Fourth Proportional to 9,978.60, 13,776.48 and 8,871.60

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Solution

The fourth proportional to 9,978.60, 13,776.48 and 8,871.60 is: 12,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.60 : 13,776.48 = 8,871.60 : x
  2. Step 2: Convert to fraction form
    9,978.60/13,776.48 = 8,871.60/x
  3. Step 3: Cross multiply
    9,978.60x = 13,776.48 × 8,871.60
  4. Step 4: Simplify right side
    9,978.60x = 122,219,419.97
  5. Step 5: Solve for x
    x = 122,219,419.97/9,978.60
  6. Step 6: Final answer
    x = 12,248.15

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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.