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Finding the Fourth Proportional to 9,209.70, 12,710.12 and 5,232.06

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Solution

The fourth proportional to 9,209.70, 12,710.12 and 5,232.06 is: 7,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.70 : 12,710.12 = 5,232.06 : x
  2. Step 2: Convert to fraction form
    9,209.70/12,710.12 = 5,232.06/x
  3. Step 3: Cross multiply
    9,209.70x = 12,710.12 × 5,232.06
  4. Step 4: Simplify right side
    9,209.70x = 66,500,084.29
  5. Step 5: Solve for x
    x = 66,500,084.29/9,209.70
  6. Step 6: Final answer
    x = 7,220.66

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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.