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Finding the Fourth Proportional to 10,005.75, 15,018.78 and 5,011.70

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Solution

The fourth proportional to 10,005.75, 15,018.78 and 5,011.70 is: 7,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.75 : 15,018.78 = 5,011.70 : x
  2. Step 2: Convert to fraction form
    10,005.75/15,018.78 = 5,011.70/x
  3. Step 3: Cross multiply
    10,005.75x = 15,018.78 × 5,011.70
  4. Step 4: Simplify right side
    10,005.75x = 75,269,669.80
  5. Step 5: Solve for x
    x = 75,269,669.80/10,005.75
  6. Step 6: Final answer
    x = 7,522.64

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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.