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Finding the Fourth Proportional to 7,852.78, 10,836.78 and 4,315.90

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Solution

The fourth proportional to 7,852.78, 10,836.78 and 4,315.90 is: 5,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.78 : 10,836.78 = 4,315.90 : x
  2. Step 2: Convert to fraction form
    7,852.78/10,836.78 = 4,315.90/x
  3. Step 3: Cross multiply
    7,852.78x = 10,836.78 × 4,315.90
  4. Step 4: Simplify right side
    7,852.78x = 46,770,458.80
  5. Step 5: Solve for x
    x = 46,770,458.80/7,852.78
  6. Step 6: Final answer
    x = 5,955.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.