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Finding the Fourth Proportional to 8,911.62, 12,269.88 and 7,848.70

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Solution

The fourth proportional to 8,911.62, 12,269.88 and 7,848.70 is: 10,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.62 : 12,269.88 = 7,848.70 : x
  2. Step 2: Convert to fraction form
    8,911.62/12,269.88 = 7,848.70/x
  3. Step 3: Cross multiply
    8,911.62x = 12,269.88 × 7,848.70
  4. Step 4: Simplify right side
    8,911.62x = 96,302,576.48
  5. Step 5: Solve for x
    x = 96,302,576.48/8,911.62
  6. Step 6: Final answer
    x = 10,806.41

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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.