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Finding the Fourth Proportional to 10,105.79, 15,158.68 and 6,598.69

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Solution

The fourth proportional to 10,105.79, 15,158.68 and 6,598.69 is: 9,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.79 : 15,158.68 = 6,598.69 : x
  2. Step 2: Convert to fraction form
    10,105.79/15,158.68 = 6,598.69/x
  3. Step 3: Cross multiply
    10,105.79x = 15,158.68 × 6,598.69
  4. Step 4: Simplify right side
    10,105.79x = 100,027,375.74
  5. Step 5: Solve for x
    x = 100,027,375.74/10,105.79
  6. Step 6: Final answer
    x = 9,898.03

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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.