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Finding the Fourth Proportional to 3,407.60, 5,106.60 and 2,523.20

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Solution

The fourth proportional to 3,407.60, 5,106.60 and 2,523.20 is: 3,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.60 : 5,106.60 = 2,523.20 : x
  2. Step 2: Convert to fraction form
    3,407.60/5,106.60 = 2,523.20/x
  3. Step 3: Cross multiply
    3,407.60x = 5,106.60 × 2,523.20
  4. Step 4: Simplify right side
    3,407.60x = 12,884,973.12
  5. Step 5: Solve for x
    x = 12,884,973.12/3,407.60
  6. Step 6: Final answer
    x = 3,781.25

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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.