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Finding the Fourth Proportional to 1,868.60, 2,798.82 and 1,540.28

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Solution

The fourth proportional to 1,868.60, 2,798.82 and 1,540.28 is: 2,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.60 : 2,798.82 = 1,540.28 : x
  2. Step 2: Convert to fraction form
    1,868.60/2,798.82 = 1,540.28/x
  3. Step 3: Cross multiply
    1,868.60x = 2,798.82 × 1,540.28
  4. Step 4: Simplify right side
    1,868.60x = 4,310,966.47
  5. Step 5: Solve for x
    x = 4,310,966.47/1,868.60
  6. Step 6: Final answer
    x = 2,307.06

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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.