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Finding the Fourth Proportional to 3,157, 4,362.12 and 2,597

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Solution

The fourth proportional to 3,157, 4,362.12 and 2,597 is: 3,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157 : 4,362.12 = 2,597 : x
  2. Step 2: Convert to fraction form
    3,157/4,362.12 = 2,597/x
  3. Step 3: Cross multiply
    3,157x = 4,362.12 × 2,597
  4. Step 4: Simplify right side
    3,157x = 11,328,425.64
  5. Step 5: Solve for x
    x = 11,328,425.64/3,157
  6. Step 6: Final answer
    x = 3,588.35

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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.