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Finding the Fourth Proportional to 1,712.64, 2,363.68 and 1,124.88

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Solution

The fourth proportional to 1,712.64, 2,363.68 and 1,124.88 is: 1,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.64 : 2,363.68 = 1,124.88 : x
  2. Step 2: Convert to fraction form
    1,712.64/2,363.68 = 1,124.88/x
  3. Step 3: Cross multiply
    1,712.64x = 2,363.68 × 1,124.88
  4. Step 4: Simplify right side
    1,712.64x = 2,658,856.36
  5. Step 5: Solve for x
    x = 2,658,856.36/1,712.64
  6. Step 6: Final answer
    x = 1,552.49

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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.