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Finding the Fourth Proportional to 1,840.90, 2,542.42 and 1,798.52

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Solution

The fourth proportional to 1,840.90, 2,542.42 and 1,798.52 is: 2,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.90 : 2,542.42 = 1,798.52 : x
  2. Step 2: Convert to fraction form
    1,840.90/2,542.42 = 1,798.52/x
  3. Step 3: Cross multiply
    1,840.90x = 2,542.42 × 1,798.52
  4. Step 4: Simplify right side
    1,840.90x = 4,572,593.22
  5. Step 5: Solve for x
    x = 4,572,593.22/1,840.90
  6. Step 6: Final answer
    x = 2,483.89

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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.