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Finding the Fourth Proportional to 2,712.71, 4,068.90 and 865.15

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Solution

The fourth proportional to 2,712.71, 4,068.90 and 865.15 is: 1,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.71 : 4,068.90 = 865.15 : x
  2. Step 2: Convert to fraction form
    2,712.71/4,068.90 = 865.15/x
  3. Step 3: Cross multiply
    2,712.71x = 4,068.90 × 865.15
  4. Step 4: Simplify right side
    2,712.71x = 3,520,204.51
  5. Step 5: Solve for x
    x = 3,520,204.51/2,712.71
  6. Step 6: Final answer
    x = 1,297.67

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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.