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Finding the Fourth Proportional to 1,948.54, 2,691.72 and 1,782.58

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Solution

The fourth proportional to 1,948.54, 2,691.72 and 1,782.58 is: 2,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.54 : 2,691.72 = 1,782.58 : x
  2. Step 2: Convert to fraction form
    1,948.54/2,691.72 = 1,782.58/x
  3. Step 3: Cross multiply
    1,948.54x = 2,691.72 × 1,782.58
  4. Step 4: Simplify right side
    1,948.54x = 4,798,206.24
  5. Step 5: Solve for x
    x = 4,798,206.24/1,948.54
  6. Step 6: Final answer
    x = 2,462.46

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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.