Home / 2,076.48-2,862-1,781.28

Finding the Fourth Proportional to 2,076.48, 2,862 and 1,781.28

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Solution

The fourth proportional to 2,076.48, 2,862 and 1,781.28 is: 2,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.48 : 2,862 = 1,781.28 : x
  2. Step 2: Convert to fraction form
    2,076.48/2,862 = 1,781.28/x
  3. Step 3: Cross multiply
    2,076.48x = 2,862 × 1,781.28
  4. Step 4: Simplify right side
    2,076.48x = 5,098,023.36
  5. Step 5: Solve for x
    x = 5,098,023.36/2,076.48
  6. Step 6: Final answer
    x = 2,455.13

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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.