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Finding the Fourth Proportional to 10,386.03, 15,580.42 and 3,363.64

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Solution

The fourth proportional to 10,386.03, 15,580.42 and 3,363.64 is: 5,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.03 : 15,580.42 = 3,363.64 : x
  2. Step 2: Convert to fraction form
    10,386.03/15,580.42 = 3,363.64/x
  3. Step 3: Cross multiply
    10,386.03x = 15,580.42 × 3,363.64
  4. Step 4: Simplify right side
    10,386.03x = 52,406,876.57
  5. Step 5: Solve for x
    x = 52,406,876.57/10,386.03
  6. Step 6: Final answer
    x = 5,045.90

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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.