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Finding the Fourth Proportional to 3,578.86, 5,366.87 and 1,387.00

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Solution

The fourth proportional to 3,578.86, 5,366.87 and 1,387.00 is: 2,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.86 : 5,366.87 = 1,387.00 : x
  2. Step 2: Convert to fraction form
    3,578.86/5,366.87 = 1,387.00/x
  3. Step 3: Cross multiply
    3,578.86x = 5,366.87 × 1,387.00
  4. Step 4: Simplify right side
    3,578.86x = 7,443,814.92
  5. Step 5: Solve for x
    x = 7,443,814.92/3,578.86
  6. Step 6: Final answer
    x = 2,079.94

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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.