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Finding the Fourth Proportional to 10,774.65, 16,159.65 and 3,378.15

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Solution

The fourth proportional to 10,774.65, 16,159.65 and 3,378.15 is: 5,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.65 : 16,159.65 = 3,378.15 : x
  2. Step 2: Convert to fraction form
    10,774.65/16,159.65 = 3,378.15/x
  3. Step 3: Cross multiply
    10,774.65x = 16,159.65 × 3,378.15
  4. Step 4: Simplify right side
    10,774.65x = 54,589,721.65
  5. Step 5: Solve for x
    x = 54,589,721.65/10,774.65
  6. Step 6: Final answer
    x = 5,066.50

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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.