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Finding the Fourth Proportional to 2,019.64, 3,029.70 and 865.40

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Solution

The fourth proportional to 2,019.64, 3,029.70 and 865.40 is: 1,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.64 : 3,029.70 = 865.40 : x
  2. Step 2: Convert to fraction form
    2,019.64/3,029.70 = 865.40/x
  3. Step 3: Cross multiply
    2,019.64x = 3,029.70 × 865.40
  4. Step 4: Simplify right side
    2,019.64x = 2,621,902.38
  5. Step 5: Solve for x
    x = 2,621,902.38/2,019.64
  6. Step 6: Final answer
    x = 1,298.20

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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.