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Finding the Fourth Proportional to 3,908.81, 5,862.30 and 1,275.64

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Solution

The fourth proportional to 3,908.81, 5,862.30 and 1,275.64 is: 1,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.81 : 5,862.30 = 1,275.64 : x
  2. Step 2: Convert to fraction form
    3,908.81/5,862.30 = 1,275.64/x
  3. Step 3: Cross multiply
    3,908.81x = 5,862.30 × 1,275.64
  4. Step 4: Simplify right side
    3,908.81x = 7,478,164.93
  5. Step 5: Solve for x
    x = 7,478,164.93/3,908.81
  6. Step 6: Final answer
    x = 1,913.16

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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.