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Finding the Fourth Proportional to 5,703.24, 7,871.94 and 3,718.76

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Solution

The fourth proportional to 5,703.24, 7,871.94 and 3,718.76 is: 5,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.24 : 7,871.94 = 3,718.76 : x
  2. Step 2: Convert to fraction form
    5,703.24/7,871.94 = 3,718.76/x
  3. Step 3: Cross multiply
    5,703.24x = 7,871.94 × 3,718.76
  4. Step 4: Simplify right side
    5,703.24x = 29,273,855.59
  5. Step 5: Solve for x
    x = 29,273,855.59/5,703.24
  6. Step 6: Final answer
    x = 5,132.85

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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.