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Finding the Fourth Proportional to 10,102.40, 15,150.90 and 3,527.90

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Solution

The fourth proportional to 10,102.40, 15,150.90 and 3,527.90 is: 5,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.40 : 15,150.90 = 3,527.90 : x
  2. Step 2: Convert to fraction form
    10,102.40/15,150.90 = 3,527.90/x
  3. Step 3: Cross multiply
    10,102.40x = 15,150.90 × 3,527.90
  4. Step 4: Simplify right side
    10,102.40x = 53,450,860.11
  5. Step 5: Solve for x
    x = 53,450,860.11/10,102.40
  6. Step 6: Final answer
    x = 5,290.91

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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.