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Finding the Fourth Proportional to 7,901.68, 11,856 and 4,203.04

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Solution

The fourth proportional to 7,901.68, 11,856 and 4,203.04 is: 6,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.68 : 11,856 = 4,203.04 : x
  2. Step 2: Convert to fraction form
    7,901.68/11,856 = 4,203.04/x
  3. Step 3: Cross multiply
    7,901.68x = 11,856 × 4,203.04
  4. Step 4: Simplify right side
    7,901.68x = 49,831,242.24
  5. Step 5: Solve for x
    x = 49,831,242.24/7,901.68
  6. Step 6: Final answer
    x = 6,306.41

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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.