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Finding the Fourth Proportional to 10,665.66, 15,975.38 and 7,737.50

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Solution

The fourth proportional to 10,665.66, 15,975.38 and 7,737.50 is: 11,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.66 : 15,975.38 = 7,737.50 : x
  2. Step 2: Convert to fraction form
    10,665.66/15,975.38 = 7,737.50/x
  3. Step 3: Cross multiply
    10,665.66x = 15,975.38 × 7,737.50
  4. Step 4: Simplify right side
    10,665.66x = 123,609,502.75
  5. Step 5: Solve for x
    x = 123,609,502.75/10,665.66
  6. Step 6: Final answer
    x = 11,589.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.