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Finding the Fourth Proportional to 14,243.80, 19,656.12 and 7,956.16

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Solution

The fourth proportional to 14,243.80, 19,656.12 and 7,956.16 is: 10,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.80 : 19,656.12 = 7,956.16 : x
  2. Step 2: Convert to fraction form
    14,243.80/19,656.12 = 7,956.16/x
  3. Step 3: Cross multiply
    14,243.80x = 19,656.12 × 7,956.16
  4. Step 4: Simplify right side
    14,243.80x = 156,387,235.70
  5. Step 5: Solve for x
    x = 156,387,235.70/14,243.80
  6. Step 6: Final answer
    x = 10,979.32

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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.