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Finding the Fourth Proportional to 10,137, 15,213.32 and 5,210.94

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Solution

The fourth proportional to 10,137, 15,213.32 and 5,210.94 is: 7,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,213.32 = 5,210.94 : x
  2. Step 2: Convert to fraction form
    10,137/15,213.32 = 5,210.94/x
  3. Step 3: Cross multiply
    10,137x = 15,213.32 × 5,210.94
  4. Step 4: Simplify right side
    10,137x = 79,275,697.72
  5. Step 5: Solve for x
    x = 79,275,697.72/10,137
  6. Step 6: Final answer
    x = 7,820.43

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1.5x scale

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.