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Finding the Fourth Proportional to 10,187.25, 15,280.98 and 4,031.25

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Solution

The fourth proportional to 10,187.25, 15,280.98 and 4,031.25 is: 6,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.25 : 15,280.98 = 4,031.25 : x
  2. Step 2: Convert to fraction form
    10,187.25/15,280.98 = 4,031.25/x
  3. Step 3: Cross multiply
    10,187.25x = 15,280.98 × 4,031.25
  4. Step 4: Simplify right side
    10,187.25x = 61,601,450.63
  5. Step 5: Solve for x
    x = 61,601,450.63/10,187.25
  6. Step 6: Final answer
    x = 6,046.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.