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Finding the Fourth Proportional to 4,287.88, 6,433.98 and 1,981

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Solution

The fourth proportional to 4,287.88, 6,433.98 and 1,981 is: 2,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.88 : 6,433.98 = 1,981 : x
  2. Step 2: Convert to fraction form
    4,287.88/6,433.98 = 1,981/x
  3. Step 3: Cross multiply
    4,287.88x = 6,433.98 × 1,981
  4. Step 4: Simplify right side
    4,287.88x = 12,745,714.38
  5. Step 5: Solve for x
    x = 12,745,714.38/4,287.88
  6. Step 6: Final answer
    x = 2,972.50

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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.