Home / 2,277.61-3,417.74-961.28

Finding the Fourth Proportional to 2,277.61, 3,417.74 and 961.28

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Solution

The fourth proportional to 2,277.61, 3,417.74 and 961.28 is: 1,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.61 : 3,417.74 = 961.28 : x
  2. Step 2: Convert to fraction form
    2,277.61/3,417.74 = 961.28/x
  3. Step 3: Cross multiply
    2,277.61x = 3,417.74 × 961.28
  4. Step 4: Simplify right side
    2,277.61x = 3,285,405.11
  5. Step 5: Solve for x
    x = 3,285,405.11/2,277.61
  6. Step 6: Final answer
    x = 1,442.48

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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.