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Finding the Fourth Proportional to 9,825.80, 14,717.10 and 8,731.40

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Solution

The fourth proportional to 9,825.80, 14,717.10 and 8,731.40 is: 13,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.80 : 14,717.10 = 8,731.40 : x
  2. Step 2: Convert to fraction form
    9,825.80/14,717.10 = 8,731.40/x
  3. Step 3: Cross multiply
    9,825.80x = 14,717.10 × 8,731.40
  4. Step 4: Simplify right side
    9,825.80x = 128,500,886.94
  5. Step 5: Solve for x
    x = 128,500,886.94/9,825.80
  6. Step 6: Final answer
    x = 13,077.91

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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.