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Finding the Fourth Proportional to 11,862.78, 17,794.16 and 5,205.78

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Solution

The fourth proportional to 11,862.78, 17,794.16 and 5,205.78 is: 7,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.78 : 17,794.16 = 5,205.78 : x
  2. Step 2: Convert to fraction form
    11,862.78/17,794.16 = 5,205.78/x
  3. Step 3: Cross multiply
    11,862.78x = 17,794.16 × 5,205.78
  4. Step 4: Simplify right side
    11,862.78x = 92,632,482.24
  5. Step 5: Solve for x
    x = 92,632,482.24/11,862.78
  6. Step 6: Final answer
    x = 7,808.67

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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.