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Finding the Fourth Proportional to 3,712, 5,121.16 and 2,453.64

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Solution

The fourth proportional to 3,712, 5,121.16 and 2,453.64 is: 3,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,121.16 = 2,453.64 : x
  2. Step 2: Convert to fraction form
    3,712/5,121.16 = 2,453.64/x
  3. Step 3: Cross multiply
    3,712x = 5,121.16 × 2,453.64
  4. Step 4: Simplify right side
    3,712x = 12,565,483.02
  5. Step 5: Solve for x
    x = 12,565,483.02/3,712
  6. Step 6: Final answer
    x = 3,385.10

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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.