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Finding the Fourth Proportional to 12,395.93, 17,102.49 and 7,089.71

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Solution

The fourth proportional to 12,395.93, 17,102.49 and 7,089.71 is: 9,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.93 : 17,102.49 = 7,089.71 : x
  2. Step 2: Convert to fraction form
    12,395.93/17,102.49 = 7,089.71/x
  3. Step 3: Cross multiply
    12,395.93x = 17,102.49 × 7,089.71
  4. Step 4: Simplify right side
    12,395.93x = 121,251,608.87
  5. Step 5: Solve for x
    x = 121,251,608.87/12,395.93
  6. Step 6: Final answer
    x = 9,781.57

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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.