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Finding the Fourth Proportional to 10,394.60, 15,591.90 and 2,603.42

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Solution

The fourth proportional to 10,394.60, 15,591.90 and 2,603.42 is: 3,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.60 : 15,591.90 = 2,603.42 : x
  2. Step 2: Convert to fraction form
    10,394.60/15,591.90 = 2,603.42/x
  3. Step 3: Cross multiply
    10,394.60x = 15,591.90 × 2,603.42
  4. Step 4: Simplify right side
    10,394.60x = 40,592,186.34
  5. Step 5: Solve for x
    x = 40,592,186.34/10,394.60
  6. Step 6: Final answer
    x = 3,905.12

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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.