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Finding the Fourth Proportional to 5,587, 7,710.30 and 3,103

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Solution

The fourth proportional to 5,587, 7,710.30 and 3,103 is: 4,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587 : 7,710.30 = 3,103 : x
  2. Step 2: Convert to fraction form
    5,587/7,710.30 = 3,103/x
  3. Step 3: Cross multiply
    5,587x = 7,710.30 × 3,103
  4. Step 4: Simplify right side
    5,587x = 23,925,060.90
  5. Step 5: Solve for x
    x = 23,925,060.90/5,587
  6. Step 6: Final answer
    x = 4,282.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.