Home / 1,782.10-2,671.29-795.38

Finding the Fourth Proportional to 1,782.10, 2,671.29 and 795.38

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Solution

The fourth proportional to 1,782.10, 2,671.29 and 795.38 is: 1,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.10 : 2,671.29 = 795.38 : x
  2. Step 2: Convert to fraction form
    1,782.10/2,671.29 = 795.38/x
  3. Step 3: Cross multiply
    1,782.10x = 2,671.29 × 795.38
  4. Step 4: Simplify right side
    1,782.10x = 2,124,691.25
  5. Step 5: Solve for x
    x = 2,124,691.25/1,782.10
  6. Step 6: Final answer
    x = 1,192.24

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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.