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Finding the Fourth Proportional to 5,880.88, 8,822.52 and 1,985.20

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Solution

The fourth proportional to 5,880.88, 8,822.52 and 1,985.20 is: 2,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.88 : 8,822.52 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    5,880.88/8,822.52 = 1,985.20/x
  3. Step 3: Cross multiply
    5,880.88x = 8,822.52 × 1,985.20
  4. Step 4: Simplify right side
    5,880.88x = 17,514,466.70
  5. Step 5: Solve for x
    x = 17,514,466.70/5,880.88
  6. Step 6: Final answer
    x = 2,978.21

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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.