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Finding the Fourth Proportional to 3,294.64, 4,940.16 and 1,345.24

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Solution

The fourth proportional to 3,294.64, 4,940.16 and 1,345.24 is: 2,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.64 : 4,940.16 = 1,345.24 : x
  2. Step 2: Convert to fraction form
    3,294.64/4,940.16 = 1,345.24/x
  3. Step 3: Cross multiply
    3,294.64x = 4,940.16 × 1,345.24
  4. Step 4: Simplify right side
    3,294.64x = 6,645,700.84
  5. Step 5: Solve for x
    x = 6,645,700.84/3,294.64
  6. Step 6: Final answer
    x = 2,017.13

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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.