Home / 1,764.15-2,434.36-978.18

Finding the Fourth Proportional to 1,764.15, 2,434.36 and 978.18

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Solution

The fourth proportional to 1,764.15, 2,434.36 and 978.18 is: 1,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.15 : 2,434.36 = 978.18 : x
  2. Step 2: Convert to fraction form
    1,764.15/2,434.36 = 978.18/x
  3. Step 3: Cross multiply
    1,764.15x = 2,434.36 × 978.18
  4. Step 4: Simplify right side
    1,764.15x = 2,381,237.37
  5. Step 5: Solve for x
    x = 2,381,237.37/1,764.15
  6. Step 6: Final answer
    x = 1,349.79

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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.