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Finding the Fourth Proportional to 8,689.70, 12,001.64 and 5,852.14

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Solution

The fourth proportional to 8,689.70, 12,001.64 and 5,852.14 is: 8,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.70 : 12,001.64 = 5,852.14 : x
  2. Step 2: Convert to fraction form
    8,689.70/12,001.64 = 5,852.14/x
  3. Step 3: Cross multiply
    8,689.70x = 12,001.64 × 5,852.14
  4. Step 4: Simplify right side
    8,689.70x = 70,235,252.00
  5. Step 5: Solve for x
    x = 70,235,252.00/8,689.70
  6. Step 6: Final answer
    x = 8,082.59

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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.