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Finding the Fourth Proportional to 2,630, 3,630.92 and 2,010.16

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Solution

The fourth proportional to 2,630, 3,630.92 and 2,010.16 is: 2,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630 : 3,630.92 = 2,010.16 : x
  2. Step 2: Convert to fraction form
    2,630/3,630.92 = 2,010.16/x
  3. Step 3: Cross multiply
    2,630x = 3,630.92 × 2,010.16
  4. Step 4: Simplify right side
    2,630x = 7,298,730.15
  5. Step 5: Solve for x
    x = 7,298,730.15/2,630
  6. Step 6: Final answer
    x = 2,775.18

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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.