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Finding the Fourth Proportional to 8,431.61, 11,640.65 and 7,497.54

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Solution

The fourth proportional to 8,431.61, 11,640.65 and 7,497.54 is: 10,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.61 : 11,640.65 = 7,497.54 : x
  2. Step 2: Convert to fraction form
    8,431.61/11,640.65 = 7,497.54/x
  3. Step 3: Cross multiply
    8,431.61x = 11,640.65 × 7,497.54
  4. Step 4: Simplify right side
    8,431.61x = 87,276,201.51
  5. Step 5: Solve for x
    x = 87,276,201.51/8,431.61
  6. Step 6: Final answer
    x = 10,351.08

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Half 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.