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Finding the Fourth Proportional to 9,957.10, 14,947.80 and 9,884.20

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Solution

The fourth proportional to 9,957.10, 14,947.80 and 9,884.20 is: 14,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.10 : 14,947.80 = 9,884.20 : x
  2. Step 2: Convert to fraction form
    9,957.10/14,947.80 = 9,884.20/x
  3. Step 3: Cross multiply
    9,957.10x = 14,947.80 × 9,884.20
  4. Step 4: Simplify right side
    9,957.10x = 147,747,044.76
  5. Step 5: Solve for x
    x = 147,747,044.76/9,957.10
  6. Step 6: Final answer
    x = 14,838.36

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1.5x scale

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.