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Finding the Fourth Proportional to 1,764.57, 2,435.01 and 978.57

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Solution

The fourth proportional to 1,764.57, 2,435.01 and 978.57 is: 1,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.57 : 2,435.01 = 978.57 : x
  2. Step 2: Convert to fraction form
    1,764.57/2,435.01 = 978.57/x
  3. Step 3: Cross multiply
    1,764.57x = 2,435.01 × 978.57
  4. Step 4: Simplify right side
    1,764.57x = 2,382,827.74
  5. Step 5: Solve for x
    x = 2,382,827.74/1,764.57
  6. Step 6: Final answer
    x = 1,350.37

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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.