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Finding the Fourth Proportional to 3,530.79, 4,872.15 and 1,958.78

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Solution

The fourth proportional to 3,530.79, 4,872.15 and 1,958.78 is: 2,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.79 : 4,872.15 = 1,958.78 : x
  2. Step 2: Convert to fraction form
    3,530.79/4,872.15 = 1,958.78/x
  3. Step 3: Cross multiply
    3,530.79x = 4,872.15 × 1,958.78
  4. Step 4: Simplify right side
    3,530.79x = 9,543,482.16
  5. Step 5: Solve for x
    x = 9,543,482.16/3,530.79
  6. Step 6: Final answer
    x = 2,702.93

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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.