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Finding the Fourth Proportional to 6,689.84, 10,034.54 and 3,181.52

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Solution

The fourth proportional to 6,689.84, 10,034.54 and 3,181.52 is: 4,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.84 : 10,034.54 = 3,181.52 : x
  2. Step 2: Convert to fraction form
    6,689.84/10,034.54 = 3,181.52/x
  3. Step 3: Cross multiply
    6,689.84x = 10,034.54 × 3,181.52
  4. Step 4: Simplify right side
    6,689.84x = 31,925,089.70
  5. Step 5: Solve for x
    x = 31,925,089.70/6,689.84
  6. Step 6: Final answer
    x = 4,772.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.