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Finding the Fourth Proportional to 3,987.74, 5,978.36 and 2,445.50

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Solution

The fourth proportional to 3,987.74, 5,978.36 and 2,445.50 is: 3,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.74 : 5,978.36 = 2,445.50 : x
  2. Step 2: Convert to fraction form
    3,987.74/5,978.36 = 2,445.50/x
  3. Step 3: Cross multiply
    3,987.74x = 5,978.36 × 2,445.50
  4. Step 4: Simplify right side
    3,987.74x = 14,620,079.38
  5. Step 5: Solve for x
    x = 14,620,079.38/3,987.74
  6. Step 6: Final answer
    x = 3,666.26

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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.