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Finding the Fourth Proportional to 9,289.59, 13,844.93 and 9,212.13

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Solution

The fourth proportional to 9,289.59, 13,844.93 and 9,212.13 is: 13,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.59 : 13,844.93 = 9,212.13 : x
  2. Step 2: Convert to fraction form
    9,289.59/13,844.93 = 9,212.13/x
  3. Step 3: Cross multiply
    9,289.59x = 13,844.93 × 9,212.13
  4. Step 4: Simplify right side
    9,289.59x = 127,541,248.94
  5. Step 5: Solve for x
    x = 127,541,248.94/9,289.59
  6. Step 6: Final answer
    x = 13,729.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.