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Finding the Fourth Proportional to 2,894.64, 4,338.12 and 1,578.40

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Solution

The fourth proportional to 2,894.64, 4,338.12 and 1,578.40 is: 2,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.64 : 4,338.12 = 1,578.40 : x
  2. Step 2: Convert to fraction form
    2,894.64/4,338.12 = 1,578.40/x
  3. Step 3: Cross multiply
    2,894.64x = 4,338.12 × 1,578.40
  4. Step 4: Simplify right side
    2,894.64x = 6,847,288.61
  5. Step 5: Solve for x
    x = 6,847,288.61/2,894.64
  6. Step 6: Final answer
    x = 2,365.51

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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.