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Finding the Fourth Proportional to 3,653.84, 5,038.97 and 3,124.71

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Solution

The fourth proportional to 3,653.84, 5,038.97 and 3,124.71 is: 4,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.84 : 5,038.97 = 3,124.71 : x
  2. Step 2: Convert to fraction form
    3,653.84/5,038.97 = 3,124.71/x
  3. Step 3: Cross multiply
    3,653.84x = 5,038.97 × 3,124.71
  4. Step 4: Simplify right side
    3,653.84x = 15,745,304.33
  5. Step 5: Solve for x
    x = 15,745,304.33/3,653.84
  6. Step 6: Final answer
    x = 4,309.25

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1.5x scale

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.