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Finding the Fourth Proportional to 5,801.61, 8,702.01 and 2,103.15

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Solution

The fourth proportional to 5,801.61, 8,702.01 and 2,103.15 is: 3,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.61 : 8,702.01 = 2,103.15 : x
  2. Step 2: Convert to fraction form
    5,801.61/8,702.01 = 2,103.15/x
  3. Step 3: Cross multiply
    5,801.61x = 8,702.01 × 2,103.15
  4. Step 4: Simplify right side
    5,801.61x = 18,301,621.82
  5. Step 5: Solve for x
    x = 18,301,621.82/5,801.61
  6. Step 6: Final answer
    x = 3,154.58

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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.