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Finding the Fourth Proportional to 2,581.60, 3,872.40 and 2,322.40

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Solution

The fourth proportional to 2,581.60, 3,872.40 and 2,322.40 is: 3,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.60 : 3,872.40 = 2,322.40 : x
  2. Step 2: Convert to fraction form
    2,581.60/3,872.40 = 2,322.40/x
  3. Step 3: Cross multiply
    2,581.60x = 3,872.40 × 2,322.40
  4. Step 4: Simplify right side
    2,581.60x = 8,993,261.76
  5. Step 5: Solve for x
    x = 8,993,261.76/2,581.60
  6. Step 6: Final answer
    x = 3,483.60

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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.