Home / 2,108.04-3,162.53-647.16

Finding the Fourth Proportional to 2,108.04, 3,162.53 and 647.16

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Solution

The fourth proportional to 2,108.04, 3,162.53 and 647.16 is: 970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.04 : 3,162.53 = 647.16 : x
  2. Step 2: Convert to fraction form
    2,108.04/3,162.53 = 647.16/x
  3. Step 3: Cross multiply
    2,108.04x = 3,162.53 × 647.16
  4. Step 4: Simplify right side
    2,108.04x = 2,046,649.03
  5. Step 5: Solve for x
    x = 2,046,649.03/2,108.04
  6. Step 6: Final answer
    x = 970.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.