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Finding the Fourth Proportional to 1,698.82, 2,344.02 and 1,140.00

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Solution

The fourth proportional to 1,698.82, 2,344.02 and 1,140.00 is: 1,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.82 : 2,344.02 = 1,140.00 : x
  2. Step 2: Convert to fraction form
    1,698.82/2,344.02 = 1,140.00/x
  3. Step 3: Cross multiply
    1,698.82x = 2,344.02 × 1,140.00
  4. Step 4: Simplify right side
    1,698.82x = 2,672,169.73
  5. Step 5: Solve for x
    x = 2,672,169.73/1,698.82
  6. Step 6: Final answer
    x = 1,572.96

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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.