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Finding the Fourth Proportional to 9,871.76, 14,826.36 and 8,742.80

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Solution

The fourth proportional to 9,871.76, 14,826.36 and 8,742.80 is: 13,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.76 : 14,826.36 = 8,742.80 : x
  2. Step 2: Convert to fraction form
    9,871.76/14,826.36 = 8,742.80/x
  3. Step 3: Cross multiply
    9,871.76x = 14,826.36 × 8,742.80
  4. Step 4: Simplify right side
    9,871.76x = 129,623,900.21
  5. Step 5: Solve for x
    x = 129,623,900.21/9,871.76
  6. Step 6: Final answer
    x = 13,130.78

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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.