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Finding the Fourth Proportional to 7,776.27, 10,737.14 and 5,127.39

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Solution

The fourth proportional to 7,776.27, 10,737.14 and 5,127.39 is: 7,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.27 : 10,737.14 = 5,127.39 : x
  2. Step 2: Convert to fraction form
    7,776.27/10,737.14 = 5,127.39/x
  3. Step 3: Cross multiply
    7,776.27x = 10,737.14 × 5,127.39
  4. Step 4: Simplify right side
    7,776.27x = 55,053,478.63
  5. Step 5: Solve for x
    x = 55,053,478.63/7,776.27
  6. Step 6: Final answer
    x = 7,079.68

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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.