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Finding the Fourth Proportional to 13,678.80, 18,877.86 and 7,711.08

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Solution

The fourth proportional to 13,678.80, 18,877.86 and 7,711.08 is: 10,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.80 : 18,877.86 = 7,711.08 : x
  2. Step 2: Convert to fraction form
    13,678.80/18,877.86 = 7,711.08/x
  3. Step 3: Cross multiply
    13,678.80x = 18,877.86 × 7,711.08
  4. Step 4: Simplify right side
    13,678.80x = 145,568,688.69
  5. Step 5: Solve for x
    x = 145,568,688.69/13,678.80
  6. Step 6: Final answer
    x = 10,641.92

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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.