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Finding the Fourth Proportional to 7,650, 11,475 and 2,103.12

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Solution

The fourth proportional to 7,650, 11,475 and 2,103.12 is: 3,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650 : 11,475 = 2,103.12 : x
  2. Step 2: Convert to fraction form
    7,650/11,475 = 2,103.12/x
  3. Step 3: Cross multiply
    7,650x = 11,475 × 2,103.12
  4. Step 4: Simplify right side
    7,650x = 24,133,302
  5. Step 5: Solve for x
    x = 24,133,302/7,650
  6. Step 6: Final answer
    x = 3,154.68

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Double scale
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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.