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Finding the Fourth Proportional to 13,678.57, 18,875.88 and 7,711.48

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Solution

The fourth proportional to 13,678.57, 18,875.88 and 7,711.48 is: 10,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.57 : 18,875.88 = 7,711.48 : x
  2. Step 2: Convert to fraction form
    13,678.57/18,875.88 = 7,711.48/x
  3. Step 3: Cross multiply
    13,678.57x = 18,875.88 × 7,711.48
  4. Step 4: Simplify right side
    13,678.57x = 145,560,838.17
  5. Step 5: Solve for x
    x = 145,560,838.17/13,678.57
  6. Step 6: Final answer
    x = 10,641.52

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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.