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Finding the Fourth Proportional to 8,443.12, 11,587.40 and 7,948.48

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Solution

The fourth proportional to 8,443.12, 11,587.40 and 7,948.48 is: 10,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.12 : 11,587.40 = 7,948.48 : x
  2. Step 2: Convert to fraction form
    8,443.12/11,587.40 = 7,948.48/x
  3. Step 3: Cross multiply
    8,443.12x = 11,587.40 × 7,948.48
  4. Step 4: Simplify right side
    8,443.12x = 92,102,217.15
  5. Step 5: Solve for x
    x = 92,102,217.15/8,443.12
  6. Step 6: Final answer
    x = 10,908.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.