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Finding the Fourth Proportional to 7,858.42, 11,809.23 and 7,344.70

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Solution

The fourth proportional to 7,858.42, 11,809.23 and 7,344.70 is: 11,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.42 : 11,809.23 = 7,344.70 : x
  2. Step 2: Convert to fraction form
    7,858.42/11,809.23 = 7,344.70/x
  3. Step 3: Cross multiply
    7,858.42x = 11,809.23 × 7,344.70
  4. Step 4: Simplify right side
    7,858.42x = 86,735,251.58
  5. Step 5: Solve for x
    x = 86,735,251.58/7,858.42
  6. Step 6: Final answer
    x = 11,037.24

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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.