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Finding the Fourth Proportional to 12,844.79, 17,727.08 and 7,539.49

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Solution

The fourth proportional to 12,844.79, 17,727.08 and 7,539.49 is: 10,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.79 : 17,727.08 = 7,539.49 : x
  2. Step 2: Convert to fraction form
    12,844.79/17,727.08 = 7,539.49/x
  3. Step 3: Cross multiply
    12,844.79x = 17,727.08 × 7,539.49
  4. Step 4: Simplify right side
    12,844.79x = 133,653,142.39
  5. Step 5: Solve for x
    x = 133,653,142.39/12,844.79
  6. Step 6: Final answer
    x = 10,405.24

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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.