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Finding the Fourth Proportional to 2,487.86, 3,731.11 and 927.80

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Solution

The fourth proportional to 2,487.86, 3,731.11 and 927.80 is: 1,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.86 : 3,731.11 = 927.80 : x
  2. Step 2: Convert to fraction form
    2,487.86/3,731.11 = 927.80/x
  3. Step 3: Cross multiply
    2,487.86x = 3,731.11 × 927.80
  4. Step 4: Simplify right side
    2,487.86x = 3,461,743.08
  5. Step 5: Solve for x
    x = 3,461,743.08/2,487.86
  6. Step 6: Final answer
    x = 1,391.45

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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.