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Finding the Fourth Proportional to 8,707.71, 11,980.92 and 8,462.68

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Solution

The fourth proportional to 8,707.71, 11,980.92 and 8,462.68 is: 11,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.71 : 11,980.92 = 8,462.68 : x
  2. Step 2: Convert to fraction form
    8,707.71/11,980.92 = 8,462.68/x
  3. Step 3: Cross multiply
    8,707.71x = 11,980.92 × 8,462.68
  4. Step 4: Simplify right side
    8,707.71x = 101,390,692.07
  5. Step 5: Solve for x
    x = 101,390,692.07/8,707.71
  6. Step 6: Final answer
    x = 11,643.78

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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.