Home / 2,277.48-3,416.28-816.78

Finding the Fourth Proportional to 2,277.48, 3,416.28 and 816.78

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Solution

The fourth proportional to 2,277.48, 3,416.28 and 816.78 is: 1,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.48 : 3,416.28 = 816.78 : x
  2. Step 2: Convert to fraction form
    2,277.48/3,416.28 = 816.78/x
  3. Step 3: Cross multiply
    2,277.48x = 3,416.28 × 816.78
  4. Step 4: Simplify right side
    2,277.48x = 2,790,349.18
  5. Step 5: Solve for x
    x = 2,790,349.18/2,277.48
  6. Step 6: Final answer
    x = 1,225.19

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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.