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Finding the Fourth Proportional to 10,626, 15,939 and 3,700.56

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Solution

The fourth proportional to 10,626, 15,939 and 3,700.56 is: 5,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626 : 15,939 = 3,700.56 : x
  2. Step 2: Convert to fraction form
    10,626/15,939 = 3,700.56/x
  3. Step 3: Cross multiply
    10,626x = 15,939 × 3,700.56
  4. Step 4: Simplify right side
    10,626x = 58,983,225.84
  5. Step 5: Solve for x
    x = 58,983,225.84/10,626
  6. Step 6: Final answer
    x = 5,550.84

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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.