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Finding the Fourth Proportional to 7,192.95, 10,775.30 and 6,409.28

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Solution

The fourth proportional to 7,192.95, 10,775.30 and 6,409.28 is: 9,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.95 : 10,775.30 = 6,409.28 : x
  2. Step 2: Convert to fraction form
    7,192.95/10,775.30 = 6,409.28/x
  3. Step 3: Cross multiply
    7,192.95x = 10,775.30 × 6,409.28
  4. Step 4: Simplify right side
    7,192.95x = 69,061,876.93
  5. Step 5: Solve for x
    x = 69,061,876.93/7,192.95
  6. Step 6: Final answer
    x = 9,601.33

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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.