Home / 1,695.30-2,543.89-829.62

Finding the Fourth Proportional to 1,695.30, 2,543.89 and 829.62

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Solution

The fourth proportional to 1,695.30, 2,543.89 and 829.62 is: 1,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.30 : 2,543.89 = 829.62 : x
  2. Step 2: Convert to fraction form
    1,695.30/2,543.89 = 829.62/x
  3. Step 3: Cross multiply
    1,695.30x = 2,543.89 × 829.62
  4. Step 4: Simplify right side
    1,695.30x = 2,110,462.02
  5. Step 5: Solve for x
    x = 2,110,462.02/1,695.30
  6. Step 6: Final answer
    x = 1,244.89

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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.