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Finding the Fourth Proportional to 13,957.88, 20,902.02 and 9,778.28

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Solution

The fourth proportional to 13,957.88, 20,902.02 and 9,778.28 is: 14,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.88 : 20,902.02 = 9,778.28 : x
  2. Step 2: Convert to fraction form
    13,957.88/20,902.02 = 9,778.28/x
  3. Step 3: Cross multiply
    13,957.88x = 20,902.02 × 9,778.28
  4. Step 4: Simplify right side
    13,957.88x = 204,385,804.13
  5. Step 5: Solve for x
    x = 204,385,804.13/13,957.88
  6. Step 6: Final answer
    x = 14,643.04

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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.