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Finding the Fourth Proportional to 2,630.61, 3,630.83 and 1,687.16

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Solution

The fourth proportional to 2,630.61, 3,630.83 and 1,687.16 is: 2,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.61 : 3,630.83 = 1,687.16 : x
  2. Step 2: Convert to fraction form
    2,630.61/3,630.83 = 1,687.16/x
  3. Step 3: Cross multiply
    2,630.61x = 3,630.83 × 1,687.16
  4. Step 4: Simplify right side
    2,630.61x = 6,125,764.55
  5. Step 5: Solve for x
    x = 6,125,764.55/2,630.61
  6. Step 6: Final answer
    x = 2,328.65

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1.5x scale

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.