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Finding the Fourth Proportional to 8,327.23, 12,402.47 and 8,287

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Solution

The fourth proportional to 8,327.23, 12,402.47 and 8,287 is: 12,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.23 : 12,402.47 = 8,287 : x
  2. Step 2: Convert to fraction form
    8,327.23/12,402.47 = 8,287/x
  3. Step 3: Cross multiply
    8,327.23x = 12,402.47 × 8,287
  4. Step 4: Simplify right side
    8,327.23x = 102,779,268.89
  5. Step 5: Solve for x
    x = 102,779,268.89/8,327.23
  6. Step 6: Final answer
    x = 12,342.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.