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Finding the Fourth Proportional to 4,761.84, 7,144.14 and 1,987.08

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Solution

The fourth proportional to 4,761.84, 7,144.14 and 1,987.08 is: 2,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.84 : 7,144.14 = 1,987.08 : x
  2. Step 2: Convert to fraction form
    4,761.84/7,144.14 = 1,987.08/x
  3. Step 3: Cross multiply
    4,761.84x = 7,144.14 × 1,987.08
  4. Step 4: Simplify right side
    4,761.84x = 14,195,977.71
  5. Step 5: Solve for x
    x = 14,195,977.71/4,761.84
  6. Step 6: Final answer
    x = 2,981.20

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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.