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Finding the Fourth Proportional to 5,178.76, 7,762.05 and 2,714.74

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Solution

The fourth proportional to 5,178.76, 7,762.05 and 2,714.74 is: 4,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.76 : 7,762.05 = 2,714.74 : x
  2. Step 2: Convert to fraction form
    5,178.76/7,762.05 = 2,714.74/x
  3. Step 3: Cross multiply
    5,178.76x = 7,762.05 × 2,714.74
  4. Step 4: Simplify right side
    5,178.76x = 21,071,947.62
  5. Step 5: Solve for x
    x = 21,071,947.62/5,178.76
  6. Step 6: Final answer
    x = 4,068.92

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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.