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Finding the Fourth Proportional to 1,725.12, 2,600.64 and 1,586.88

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Solution

The fourth proportional to 1,725.12, 2,600.64 and 1,586.88 is: 2,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.12 : 2,600.64 = 1,586.88 : x
  2. Step 2: Convert to fraction form
    1,725.12/2,600.64 = 1,586.88/x
  3. Step 3: Cross multiply
    1,725.12x = 2,600.64 × 1,586.88
  4. Step 4: Simplify right side
    1,725.12x = 4,126,903.60
  5. Step 5: Solve for x
    x = 4,126,903.60/1,725.12
  6. Step 6: Final answer
    x = 2,392.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.