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Finding the Fourth Proportional to 3,417.64, 5,125.16 and 1,338.64

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Solution

The fourth proportional to 3,417.64, 5,125.16 and 1,338.64 is: 2,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.64 : 5,125.16 = 1,338.64 : x
  2. Step 2: Convert to fraction form
    3,417.64/5,125.16 = 1,338.64/x
  3. Step 3: Cross multiply
    3,417.64x = 5,125.16 × 1,338.64
  4. Step 4: Simplify right side
    3,417.64x = 6,860,744.18
  5. Step 5: Solve for x
    x = 6,860,744.18/3,417.64
  6. Step 6: Final answer
    x = 2,007.45

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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.