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Finding the Fourth Proportional to 3,384.75, 4,671 and 1,987.50

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Solution

The fourth proportional to 3,384.75, 4,671 and 1,987.50 is: 2,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.75 : 4,671 = 1,987.50 : x
  2. Step 2: Convert to fraction form
    3,384.75/4,671 = 1,987.50/x
  3. Step 3: Cross multiply
    3,384.75x = 4,671 × 1,987.50
  4. Step 4: Simplify right side
    3,384.75x = 9,283,612.50
  5. Step 5: Solve for x
    x = 9,283,612.50/3,384.75
  6. Step 6: Final answer
    x = 2,742.78

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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.