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Finding the Fourth Proportional to 4,914.64, 6,787.68 and 3,340

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Solution

The fourth proportional to 4,914.64, 6,787.68 and 3,340 is: 4,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.64 : 6,787.68 = 3,340 : x
  2. Step 2: Convert to fraction form
    4,914.64/6,787.68 = 3,340/x
  3. Step 3: Cross multiply
    4,914.64x = 6,787.68 × 3,340
  4. Step 4: Simplify right side
    4,914.64x = 22,670,851.20
  5. Step 5: Solve for x
    x = 22,670,851.20/4,914.64
  6. Step 6: Final answer
    x = 4,612.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.