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Finding the Fourth Proportional to 2,719.40, 4,079.72 and 870.64

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Solution

The fourth proportional to 2,719.40, 4,079.72 and 870.64 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.40 : 4,079.72 = 870.64 : x
  2. Step 2: Convert to fraction form
    2,719.40/4,079.72 = 870.64/x
  3. Step 3: Cross multiply
    2,719.40x = 4,079.72 × 870.64
  4. Step 4: Simplify right side
    2,719.40x = 3,551,967.42
  5. Step 5: Solve for x
    x = 3,551,967.42/2,719.40
  6. Step 6: Final answer
    x = 1,306.16

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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.