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Finding the Fourth Proportional to 3,065, 4,229.70 and 1,667.76

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Solution

The fourth proportional to 3,065, 4,229.70 and 1,667.76 is: 2,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065 : 4,229.70 = 1,667.76 : x
  2. Step 2: Convert to fraction form
    3,065/4,229.70 = 1,667.76/x
  3. Step 3: Cross multiply
    3,065x = 4,229.70 × 1,667.76
  4. Step 4: Simplify right side
    3,065x = 7,054,124.47
  5. Step 5: Solve for x
    x = 7,054,124.47/3,065
  6. Step 6: Final answer
    x = 2,301.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.