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Finding the Fourth Proportional to 9,778.36, 13,505.25 and 6,629.08

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Solution

The fourth proportional to 9,778.36, 13,505.25 and 6,629.08 is: 9,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.36 : 13,505.25 = 6,629.08 : x
  2. Step 2: Convert to fraction form
    9,778.36/13,505.25 = 6,629.08/x
  3. Step 3: Cross multiply
    9,778.36x = 13,505.25 × 6,629.08
  4. Step 4: Simplify right side
    9,778.36x = 89,527,315.14
  5. Step 5: Solve for x
    x = 89,527,315.14/9,778.36
  6. Step 6: Final answer
    x = 9,155.66

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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.