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Finding the Fourth Proportional to 8,689.59, 12,971.45 and 7,638.66

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Solution

The fourth proportional to 8,689.59, 12,971.45 and 7,638.66 is: 11,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.59 : 12,971.45 = 7,638.66 : x
  2. Step 2: Convert to fraction form
    8,689.59/12,971.45 = 7,638.66/x
  3. Step 3: Cross multiply
    8,689.59x = 12,971.45 × 7,638.66
  4. Step 4: Simplify right side
    8,689.59x = 99,084,515.35
  5. Step 5: Solve for x
    x = 99,084,515.35/8,689.59
  6. Step 6: Final answer
    x = 11,402.67

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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.