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Finding the Fourth Proportional to 1,537.58, 2,122.80 and 978.86

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Solution

The fourth proportional to 1,537.58, 2,122.80 and 978.86 is: 1,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.58 : 2,122.80 = 978.86 : x
  2. Step 2: Convert to fraction form
    1,537.58/2,122.80 = 978.86/x
  3. Step 3: Cross multiply
    1,537.58x = 2,122.80 × 978.86
  4. Step 4: Simplify right side
    1,537.58x = 2,077,924.01
  5. Step 5: Solve for x
    x = 2,077,924.01/1,537.58
  6. Step 6: Final answer
    x = 1,351.42

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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.