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Finding the Fourth Proportional to 8,502.42, 11,734.73 and 7,083.86

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Solution

The fourth proportional to 8,502.42, 11,734.73 and 7,083.86 is: 9,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.42 : 11,734.73 = 7,083.86 : x
  2. Step 2: Convert to fraction form
    8,502.42/11,734.73 = 7,083.86/x
  3. Step 3: Cross multiply
    8,502.42x = 11,734.73 × 7,083.86
  4. Step 4: Simplify right side
    8,502.42x = 83,127,184.46
  5. Step 5: Solve for x
    x = 83,127,184.46/8,502.42
  6. Step 6: Final answer
    x = 9,776.89

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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.