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Finding the Fourth Proportional to 7,177.95, 9,919.26 and 5,406.48

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Solution

The fourth proportional to 7,177.95, 9,919.26 and 5,406.48 is: 7,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.95 : 9,919.26 = 5,406.48 : x
  2. Step 2: Convert to fraction form
    7,177.95/9,919.26 = 5,406.48/x
  3. Step 3: Cross multiply
    7,177.95x = 9,919.26 × 5,406.48
  4. Step 4: Simplify right side
    7,177.95x = 53,628,280.80
  5. Step 5: Solve for x
    x = 53,628,280.80/7,177.95
  6. Step 6: Final answer
    x = 7,471.25

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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.