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Finding the Fourth Proportional to 8,706.06, 12,031.47 and 7,734.06

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Solution

The fourth proportional to 8,706.06, 12,031.47 and 7,734.06 is: 10,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.06 : 12,031.47 = 7,734.06 : x
  2. Step 2: Convert to fraction form
    8,706.06/12,031.47 = 7,734.06/x
  3. Step 3: Cross multiply
    8,706.06x = 12,031.47 × 7,734.06
  4. Step 4: Simplify right side
    8,706.06x = 93,052,110.87
  5. Step 5: Solve for x
    x = 93,052,110.87/8,706.06
  6. Step 6: Final answer
    x = 10,688.20

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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.