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Finding the Fourth Proportional to 10,387.08, 15,578.04 and 4,835.16

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Solution

The fourth proportional to 10,387.08, 15,578.04 and 4,835.16 is: 7,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.08 : 15,578.04 = 4,835.16 : x
  2. Step 2: Convert to fraction form
    10,387.08/15,578.04 = 4,835.16/x
  3. Step 3: Cross multiply
    10,387.08x = 15,578.04 × 4,835.16
  4. Step 4: Simplify right side
    10,387.08x = 75,322,315.89
  5. Step 5: Solve for x
    x = 75,322,315.89/10,387.08
  6. Step 6: Final answer
    x = 7,251.54

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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.