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Finding the Fourth Proportional to 7,900.32, 10,902 and 4,363.44

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Solution

The fourth proportional to 7,900.32, 10,902 and 4,363.44 is: 6,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.32 : 10,902 = 4,363.44 : x
  2. Step 2: Convert to fraction form
    7,900.32/10,902 = 4,363.44/x
  3. Step 3: Cross multiply
    7,900.32x = 10,902 × 4,363.44
  4. Step 4: Simplify right side
    7,900.32x = 47,570,222.88
  5. Step 5: Solve for x
    x = 47,570,222.88/7,900.32
  6. Step 6: Final answer
    x = 6,021.30

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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.