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Finding the Fourth Proportional to 2,798.84, 3,862.60 and 1,853

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Solution

The fourth proportional to 2,798.84, 3,862.60 and 1,853 is: 2,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.84 : 3,862.60 = 1,853 : x
  2. Step 2: Convert to fraction form
    2,798.84/3,862.60 = 1,853/x
  3. Step 3: Cross multiply
    2,798.84x = 3,862.60 × 1,853
  4. Step 4: Simplify right side
    2,798.84x = 7,157,397.80
  5. Step 5: Solve for x
    x = 7,157,397.80/2,798.84
  6. Step 6: Final answer
    x = 2,557.27

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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.