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Finding the Fourth Proportional to 9,696.75, 13,381.52 and 5,280.75

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Solution

The fourth proportional to 9,696.75, 13,381.52 and 5,280.75 is: 7,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.75 : 13,381.52 = 5,280.75 : x
  2. Step 2: Convert to fraction form
    9,696.75/13,381.52 = 5,280.75/x
  3. Step 3: Cross multiply
    9,696.75x = 13,381.52 × 5,280.75
  4. Step 4: Simplify right side
    9,696.75x = 70,664,435.34
  5. Step 5: Solve for x
    x = 70,664,435.34/9,696.75
  6. Step 6: Final answer
    x = 7,287.44

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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.