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Finding the Fourth Proportional to 12,684.44, 17,504.54 and 7,019.42

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Solution

The fourth proportional to 12,684.44, 17,504.54 and 7,019.42 is: 9,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.44 : 17,504.54 = 7,019.42 : x
  2. Step 2: Convert to fraction form
    12,684.44/17,504.54 = 7,019.42/x
  3. Step 3: Cross multiply
    12,684.44x = 17,504.54 × 7,019.42
  4. Step 4: Simplify right side
    12,684.44x = 122,871,718.17
  5. Step 5: Solve for x
    x = 122,871,718.17/12,684.44
  6. Step 6: Final answer
    x = 9,686.81

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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.