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Finding the Fourth Proportional to 2,581.76, 3,877.35 and 2,364.88

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Solution

The fourth proportional to 2,581.76, 3,877.35 and 2,364.88 is: 3,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.76 : 3,877.35 = 2,364.88 : x
  2. Step 2: Convert to fraction form
    2,581.76/3,877.35 = 2,364.88/x
  3. Step 3: Cross multiply
    2,581.76x = 3,877.35 × 2,364.88
  4. Step 4: Simplify right side
    2,581.76x = 9,169,467.47
  5. Step 5: Solve for x
    x = 9,169,467.47/2,581.76
  6. Step 6: Final answer
    x = 3,551.63

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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.