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Finding the Fourth Proportional to 4,868.64, 7,309.44 and 2,561.76

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Solution

The fourth proportional to 4,868.64, 7,309.44 and 2,561.76 is: 3,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.64 : 7,309.44 = 2,561.76 : x
  2. Step 2: Convert to fraction form
    4,868.64/7,309.44 = 2,561.76/x
  3. Step 3: Cross multiply
    4,868.64x = 7,309.44 × 2,561.76
  4. Step 4: Simplify right side
    4,868.64x = 18,725,031.01
  5. Step 5: Solve for x
    x = 18,725,031.01/4,868.64
  6. Step 6: Final answer
    x = 3,846.05

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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.