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Finding the Fourth Proportional to 8,706.78, 12,010.14 and 8,123.58

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Solution

The fourth proportional to 8,706.78, 12,010.14 and 8,123.58 is: 11,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.78 : 12,010.14 = 8,123.58 : x
  2. Step 2: Convert to fraction form
    8,706.78/12,010.14 = 8,123.58/x
  3. Step 3: Cross multiply
    8,706.78x = 12,010.14 × 8,123.58
  4. Step 4: Simplify right side
    8,706.78x = 97,565,333.10
  5. Step 5: Solve for x
    x = 97,565,333.10/8,706.78
  6. Step 6: Final answer
    x = 11,205.67

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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.