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Finding the Fourth Proportional to 7,002, 10,505.16 and 2,385

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Solution

The fourth proportional to 7,002, 10,505.16 and 2,385 is: 3,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 10,505.16 = 2,385 : x
  2. Step 2: Convert to fraction form
    7,002/10,505.16 = 2,385/x
  3. Step 3: Cross multiply
    7,002x = 10,505.16 × 2,385
  4. Step 4: Simplify right side
    7,002x = 25,054,806.60
  5. Step 5: Solve for x
    x = 25,054,806.60/7,002
  6. Step 6: Final answer
    x = 3,578.24

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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.