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Finding the Fourth Proportional to 12,381.84, 17,087.04 and 6,792.84

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Solution

The fourth proportional to 12,381.84, 17,087.04 and 6,792.84 is: 9,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.84 : 17,087.04 = 6,792.84 : x
  2. Step 2: Convert to fraction form
    12,381.84/17,087.04 = 6,792.84/x
  3. Step 3: Cross multiply
    12,381.84x = 17,087.04 × 6,792.84
  4. Step 4: Simplify right side
    12,381.84x = 116,069,528.79
  5. Step 5: Solve for x
    x = 116,069,528.79/12,381.84
  6. Step 6: Final answer
    x = 9,374.17

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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.