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Finding the Fourth Proportional to 1,772.64, 2,445.12 and 1,479.24

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Solution

The fourth proportional to 1,772.64, 2,445.12 and 1,479.24 is: 2,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.64 : 2,445.12 = 1,479.24 : x
  2. Step 2: Convert to fraction form
    1,772.64/2,445.12 = 1,479.24/x
  3. Step 3: Cross multiply
    1,772.64x = 2,445.12 × 1,479.24
  4. Step 4: Simplify right side
    1,772.64x = 3,616,919.31
  5. Step 5: Solve for x
    x = 3,616,919.31/1,772.64
  6. Step 6: Final answer
    x = 2,040.41

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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.