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Finding the Fourth Proportional to 10,574.78, 15,858.92 and 7,308.86

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Solution

The fourth proportional to 10,574.78, 15,858.92 and 7,308.86 is: 10,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.78 : 15,858.92 = 7,308.86 : x
  2. Step 2: Convert to fraction form
    10,574.78/15,858.92 = 7,308.86/x
  3. Step 3: Cross multiply
    10,574.78x = 15,858.92 × 7,308.86
  4. Step 4: Simplify right side
    10,574.78x = 115,910,626.03
  5. Step 5: Solve for x
    x = 115,910,626.03/10,574.78
  6. Step 6: Final answer
    x = 10,961.04

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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.