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Finding the Fourth Proportional to 7,800.12, 11,696.40 and 3,902.40

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Solution

The fourth proportional to 7,800.12, 11,696.40 and 3,902.40 is: 5,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.12 : 11,696.40 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    7,800.12/11,696.40 = 3,902.40/x
  3. Step 3: Cross multiply
    7,800.12x = 11,696.40 × 3,902.40
  4. Step 4: Simplify right side
    7,800.12x = 45,644,031.36
  5. Step 5: Solve for x
    x = 45,644,031.36/7,800.12
  6. Step 6: Final answer
    x = 5,851.71

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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.