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Finding the Fourth Proportional to 3,287.82, 4,931.06 and 1,207.10

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Solution

The fourth proportional to 3,287.82, 4,931.06 and 1,207.10 is: 1,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.82 : 4,931.06 = 1,207.10 : x
  2. Step 2: Convert to fraction form
    3,287.82/4,931.06 = 1,207.10/x
  3. Step 3: Cross multiply
    3,287.82x = 4,931.06 × 1,207.10
  4. Step 4: Simplify right side
    3,287.82x = 5,952,282.53
  5. Step 5: Solve for x
    x = 5,952,282.53/3,287.82
  6. Step 6: Final answer
    x = 1,810.40

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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.