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Finding the Fourth Proportional to 9,911.20, 13,662.94 and 7,549.24

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Solution

The fourth proportional to 9,911.20, 13,662.94 and 7,549.24 is: 10,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.20 : 13,662.94 = 7,549.24 : x
  2. Step 2: Convert to fraction form
    9,911.20/13,662.94 = 7,549.24/x
  3. Step 3: Cross multiply
    9,911.20x = 13,662.94 × 7,549.24
  4. Step 4: Simplify right side
    9,911.20x = 103,144,813.17
  5. Step 5: Solve for x
    x = 103,144,813.17/9,911.20
  6. Step 6: Final answer
    x = 10,406.89

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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.