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Finding the Fourth Proportional to 9,479.84, 13,082 and 5,231.30

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Solution

The fourth proportional to 9,479.84, 13,082 and 5,231.30 is: 7,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479.84 : 13,082 = 5,231.30 : x
  2. Step 2: Convert to fraction form
    9,479.84/13,082 = 5,231.30/x
  3. Step 3: Cross multiply
    9,479.84x = 13,082 × 5,231.30
  4. Step 4: Simplify right side
    9,479.84x = 68,435,866.60
  5. Step 5: Solve for x
    x = 68,435,866.60/9,479.84
  6. Step 6: Final answer
    x = 7,219.10

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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.