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Finding the Fourth Proportional to 5,210.58, 7,812.42 and 2,871.72

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Solution

The fourth proportional to 5,210.58, 7,812.42 and 2,871.72 is: 4,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.58 : 7,812.42 = 2,871.72 : x
  2. Step 2: Convert to fraction form
    5,210.58/7,812.42 = 2,871.72/x
  3. Step 3: Cross multiply
    5,210.58x = 7,812.42 × 2,871.72
  4. Step 4: Simplify right side
    5,210.58x = 22,435,082.76
  5. Step 5: Solve for x
    x = 22,435,082.76/5,210.58
  6. Step 6: Final answer
    x = 4,305.68

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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.