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Finding the Fourth Proportional to 9,300.80, 13,938.24 and 7,223.16

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Solution

The fourth proportional to 9,300.80, 13,938.24 and 7,223.16 is: 10,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.80 : 13,938.24 = 7,223.16 : x
  2. Step 2: Convert to fraction form
    9,300.80/13,938.24 = 7,223.16/x
  3. Step 3: Cross multiply
    9,300.80x = 13,938.24 × 7,223.16
  4. Step 4: Simplify right side
    9,300.80x = 100,678,137.64
  5. Step 5: Solve for x
    x = 100,678,137.64/9,300.80
  6. Step 6: Final answer
    x = 10,824.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.