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Finding the Fourth Proportional to 6,448.95, 9,661.41 and 5,415.66

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Solution

The fourth proportional to 6,448.95, 9,661.41 and 5,415.66 is: 8,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.95 : 9,661.41 = 5,415.66 : x
  2. Step 2: Convert to fraction form
    6,448.95/9,661.41 = 5,415.66/x
  3. Step 3: Cross multiply
    6,448.95x = 9,661.41 × 5,415.66
  4. Step 4: Simplify right side
    6,448.95x = 52,322,911.68
  5. Step 5: Solve for x
    x = 52,322,911.68/6,448.95
  6. Step 6: Final answer
    x = 8,113.40

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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.