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Finding the Fourth Proportional to 7,385, 10,191.30 and 4,073

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Solution

The fourth proportional to 7,385, 10,191.30 and 4,073 is: 5,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385 : 10,191.30 = 4,073 : x
  2. Step 2: Convert to fraction form
    7,385/10,191.30 = 4,073/x
  3. Step 3: Cross multiply
    7,385x = 10,191.30 × 4,073
  4. Step 4: Simplify right side
    7,385x = 41,509,164.90
  5. Step 5: Solve for x
    x = 41,509,164.90/7,385
  6. Step 6: Final answer
    x = 5,620.74

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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.