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Finding the Fourth Proportional to 10,605.42, 15,910.74 and 7,491.54

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Solution

The fourth proportional to 10,605.42, 15,910.74 and 7,491.54 is: 11,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.42 : 15,910.74 = 7,491.54 : x
  2. Step 2: Convert to fraction form
    10,605.42/15,910.74 = 7,491.54/x
  3. Step 3: Cross multiply
    10,605.42x = 15,910.74 × 7,491.54
  4. Step 4: Simplify right side
    10,605.42x = 119,195,945.14
  5. Step 5: Solve for x
    x = 119,195,945.14/10,605.42
  6. Step 6: Final answer
    x = 11,239.15

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1.5x scale

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.