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Finding the Fourth Proportional to 8,689.78, 12,001.75 and 5,852.22

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Solution

The fourth proportional to 8,689.78, 12,001.75 and 5,852.22 is: 8,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.78 : 12,001.75 = 5,852.22 : x
  2. Step 2: Convert to fraction form
    8,689.78/12,001.75 = 5,852.22/x
  3. Step 3: Cross multiply
    8,689.78x = 12,001.75 × 5,852.22
  4. Step 4: Simplify right side
    8,689.78x = 70,236,852.12
  5. Step 5: Solve for x
    x = 70,236,852.12/8,689.78
  6. Step 6: Final answer
    x = 8,082.70

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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.