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Finding the Fourth Proportional to 2,277.79, 3,417.49 and 980.17

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Solution

The fourth proportional to 2,277.79, 3,417.49 and 980.17 is: 1,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.79 : 3,417.49 = 980.17 : x
  2. Step 2: Convert to fraction form
    2,277.79/3,417.49 = 980.17/x
  3. Step 3: Cross multiply
    2,277.79x = 3,417.49 × 980.17
  4. Step 4: Simplify right side
    2,277.79x = 3,349,713.85
  5. Step 5: Solve for x
    x = 3,349,713.85/2,277.79
  6. Step 6: Final answer
    x = 1,470.60

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1.5x scale

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.