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Finding the Fourth Proportional to 7,737.75, 10,637.03 and 6,657.07

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Solution

The fourth proportional to 7,737.75, 10,637.03 and 6,657.07 is: 9,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.75 : 10,637.03 = 6,657.07 : x
  2. Step 2: Convert to fraction form
    7,737.75/10,637.03 = 6,657.07/x
  3. Step 3: Cross multiply
    7,737.75x = 10,637.03 × 6,657.07
  4. Step 4: Simplify right side
    7,737.75x = 70,811,453.30
  5. Step 5: Solve for x
    x = 70,811,453.30/7,737.75
  6. Step 6: Final answer
    x = 9,151.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.