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Finding the Fourth Proportional to 9,649.95, 13,316.78 and 5,400.95

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Solution

The fourth proportional to 9,649.95, 13,316.78 and 5,400.95 is: 7,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.95 : 13,316.78 = 5,400.95 : x
  2. Step 2: Convert to fraction form
    9,649.95/13,316.78 = 5,400.95/x
  3. Step 3: Cross multiply
    9,649.95x = 13,316.78 × 5,400.95
  4. Step 4: Simplify right side
    9,649.95x = 71,923,169.35
  5. Step 5: Solve for x
    x = 71,923,169.35/9,649.95
  6. Step 6: Final answer
    x = 7,453.22

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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.