Home / 2,927.28-4,389.36-978.84

Finding the Fourth Proportional to 2,927.28, 4,389.36 and 978.84

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Solution

The fourth proportional to 2,927.28, 4,389.36 and 978.84 is: 1,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.28 : 4,389.36 = 978.84 : x
  2. Step 2: Convert to fraction form
    2,927.28/4,389.36 = 978.84/x
  3. Step 3: Cross multiply
    2,927.28x = 4,389.36 × 978.84
  4. Step 4: Simplify right side
    2,927.28x = 4,296,481.14
  5. Step 5: Solve for x
    x = 4,296,481.14/2,927.28
  6. Step 6: Final answer
    x = 1,467.74

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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.