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Finding the Fourth Proportional to 5,884.32, 8,823.04 and 1,987.68

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Solution

The fourth proportional to 5,884.32, 8,823.04 and 1,987.68 is: 2,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.32 : 8,823.04 = 1,987.68 : x
  2. Step 2: Convert to fraction form
    5,884.32/8,823.04 = 1,987.68/x
  3. Step 3: Cross multiply
    5,884.32x = 8,823.04 × 1,987.68
  4. Step 4: Simplify right side
    5,884.32x = 17,537,380.15
  5. Step 5: Solve for x
    x = 17,537,380.15/5,884.32
  6. Step 6: Final answer
    x = 2,980.36

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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.