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Finding the Fourth Proportional to 10,294.80, 15,442.85 and 3,630.47

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Solution

The fourth proportional to 10,294.80, 15,442.85 and 3,630.47 is: 5,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.80 : 15,442.85 = 3,630.47 : x
  2. Step 2: Convert to fraction form
    10,294.80/15,442.85 = 3,630.47/x
  3. Step 3: Cross multiply
    10,294.80x = 15,442.85 × 3,630.47
  4. Step 4: Simplify right side
    10,294.80x = 56,064,822.37
  5. Step 5: Solve for x
    x = 56,064,822.37/10,294.80
  6. Step 6: Final answer
    x = 5,445.94

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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.