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Finding the Fourth Proportional to 7,482, 11,224.62 and 2,865

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Solution

The fourth proportional to 7,482, 11,224.62 and 2,865 is: 4,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482 : 11,224.62 = 2,865 : x
  2. Step 2: Convert to fraction form
    7,482/11,224.62 = 2,865/x
  3. Step 3: Cross multiply
    7,482x = 11,224.62 × 2,865
  4. Step 4: Simplify right side
    7,482x = 32,158,536.30
  5. Step 5: Solve for x
    x = 32,158,536.30/7,482
  6. Step 6: Final answer
    x = 4,298.12

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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.