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Finding the Fourth Proportional to 2,520.84, 3,780.62 and 981

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Solution

The fourth proportional to 2,520.84, 3,780.62 and 981 is: 1,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.84 : 3,780.62 = 981 : x
  2. Step 2: Convert to fraction form
    2,520.84/3,780.62 = 981/x
  3. Step 3: Cross multiply
    2,520.84x = 3,780.62 × 981
  4. Step 4: Simplify right side
    2,520.84x = 3,708,788.22
  5. Step 5: Solve for x
    x = 3,708,788.22/2,520.84
  6. Step 6: Final answer
    x = 1,471.25

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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.