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Finding the Fourth Proportional to 9,266.78, 13,900.15 and 7,161.47

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Solution

The fourth proportional to 9,266.78, 13,900.15 and 7,161.47 is: 10,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.78 : 13,900.15 = 7,161.47 : x
  2. Step 2: Convert to fraction form
    9,266.78/13,900.15 = 7,161.47/x
  3. Step 3: Cross multiply
    9,266.78x = 13,900.15 × 7,161.47
  4. Step 4: Simplify right side
    9,266.78x = 99,545,507.22
  5. Step 5: Solve for x
    x = 99,545,507.22/9,266.78
  6. Step 6: Final answer
    x = 10,742.19

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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.