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Finding the Fourth Proportional to 11,458.53, 15,813.63 and 6,422.76

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Solution

The fourth proportional to 11,458.53, 15,813.63 and 6,422.76 is: 8,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.53 : 15,813.63 = 6,422.76 : x
  2. Step 2: Convert to fraction form
    11,458.53/15,813.63 = 6,422.76/x
  3. Step 3: Cross multiply
    11,458.53x = 15,813.63 × 6,422.76
  4. Step 4: Simplify right side
    11,458.53x = 101,567,150.22
  5. Step 5: Solve for x
    x = 101,567,150.22/11,458.53
  6. Step 6: Final answer
    x = 8,863.89

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Half scale
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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.