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Finding the Fourth Proportional to 3,987.40, 5,981.40 and 1,065.64

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Solution

The fourth proportional to 3,987.40, 5,981.40 and 1,065.64 is: 1,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.40 : 5,981.40 = 1,065.64 : x
  2. Step 2: Convert to fraction form
    3,987.40/5,981.40 = 1,065.64/x
  3. Step 3: Cross multiply
    3,987.40x = 5,981.40 × 1,065.64
  4. Step 4: Simplify right side
    3,987.40x = 6,374,019.10
  5. Step 5: Solve for x
    x = 6,374,019.10/3,987.40
  6. Step 6: Final answer
    x = 1,598.54

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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.