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Finding the Fourth Proportional to 2,049.49, 3,074.24 and 510.49

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Solution

The fourth proportional to 2,049.49, 3,074.24 and 510.49 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.49 : 3,074.24 = 510.49 : x
  2. Step 2: Convert to fraction form
    2,049.49/3,074.24 = 510.49/x
  3. Step 3: Cross multiply
    2,049.49x = 3,074.24 × 510.49
  4. Step 4: Simplify right side
    2,049.49x = 1,569,368.78
  5. Step 5: Solve for x
    x = 1,569,368.78/2,049.49
  6. Step 6: Final answer
    x = 765.74

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Double scale
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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.