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Finding the Fourth Proportional to 7,805, 10,770.85 and 4,268.23

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Solution

The fourth proportional to 7,805, 10,770.85 and 4,268.23 is: 5,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805 : 10,770.85 = 4,268.23 : x
  2. Step 2: Convert to fraction form
    7,805/10,770.85 = 4,268.23/x
  3. Step 3: Cross multiply
    7,805x = 10,770.85 × 4,268.23
  4. Step 4: Simplify right side
    7,805x = 45,972,465.10
  5. Step 5: Solve for x
    x = 45,972,465.10/7,805
  6. Step 6: Final answer
    x = 5,890.13

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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.