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Finding the Fourth Proportional to 12,381.16, 17,066.34 and 12,135.40

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Solution

The fourth proportional to 12,381.16, 17,066.34 and 12,135.40 is: 16,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.16 : 17,066.34 = 12,135.40 : x
  2. Step 2: Convert to fraction form
    12,381.16/17,066.34 = 12,135.40/x
  3. Step 3: Cross multiply
    12,381.16x = 17,066.34 × 12,135.40
  4. Step 4: Simplify right side
    12,381.16x = 207,106,862.44
  5. Step 5: Solve for x
    x = 207,106,862.44/12,381.16
  6. Step 6: Final answer
    x = 16,727.58

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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.