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Finding the Fourth Proportional to 3,098.61, 4,648.10 and 1,125.41

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Solution

The fourth proportional to 3,098.61, 4,648.10 and 1,125.41 is: 1,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.61 : 4,648.10 = 1,125.41 : x
  2. Step 2: Convert to fraction form
    3,098.61/4,648.10 = 1,125.41/x
  3. Step 3: Cross multiply
    3,098.61x = 4,648.10 × 1,125.41
  4. Step 4: Simplify right side
    3,098.61x = 5,230,989.35
  5. Step 5: Solve for x
    x = 5,230,989.35/3,098.61
  6. Step 6: Final answer
    x = 1,688.17

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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.