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Finding the Fourth Proportional to 9,489.74, 13,094.87 and 5,511.69

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Solution

The fourth proportional to 9,489.74, 13,094.87 and 5,511.69 is: 7,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.74 : 13,094.87 = 5,511.69 : x
  2. Step 2: Convert to fraction form
    9,489.74/13,094.87 = 5,511.69/x
  3. Step 3: Cross multiply
    9,489.74x = 13,094.87 × 5,511.69
  4. Step 4: Simplify right side
    9,489.74x = 72,174,836.47
  5. Step 5: Solve for x
    x = 72,174,836.47/9,489.74
  6. Step 6: Final answer
    x = 7,605.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.