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Finding the Fourth Proportional to 8,971.76, 12,386.72 and 6,609.80

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Solution

The fourth proportional to 8,971.76, 12,386.72 and 6,609.80 is: 9,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.76 : 12,386.72 = 6,609.80 : x
  2. Step 2: Convert to fraction form
    8,971.76/12,386.72 = 6,609.80/x
  3. Step 3: Cross multiply
    8,971.76x = 12,386.72 × 6,609.80
  4. Step 4: Simplify right side
    8,971.76x = 81,873,741.86
  5. Step 5: Solve for x
    x = 81,873,741.86/8,971.76
  6. Step 6: Final answer
    x = 9,125.72

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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.