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Finding the Fourth Proportional to 13,700.53, 18,909.06 and 7,957.09

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Solution

The fourth proportional to 13,700.53, 18,909.06 and 7,957.09 is: 10,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.53 : 18,909.06 = 7,957.09 : x
  2. Step 2: Convert to fraction form
    13,700.53/18,909.06 = 7,957.09/x
  3. Step 3: Cross multiply
    13,700.53x = 18,909.06 × 7,957.09
  4. Step 4: Simplify right side
    13,700.53x = 150,461,092.24
  5. Step 5: Solve for x
    x = 150,461,092.24/13,700.53
  6. Step 6: Final answer
    x = 10,982.14

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1.5x scale

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.