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Finding the Fourth Proportional to 9,207, 12,706.20 and 5,228.28

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Solution

The fourth proportional to 9,207, 12,706.20 and 5,228.28 is: 7,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207 : 12,706.20 = 5,228.28 : x
  2. Step 2: Convert to fraction form
    9,207/12,706.20 = 5,228.28/x
  3. Step 3: Cross multiply
    9,207x = 12,706.20 × 5,228.28
  4. Step 4: Simplify right side
    9,207x = 66,431,571.34
  5. Step 5: Solve for x
    x = 66,431,571.34/9,207
  6. Step 6: Final answer
    x = 7,215.33

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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.