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Finding the Fourth Proportional to 18,557.84, 27,824.16 and 6,864.68

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Solution

The fourth proportional to 18,557.84, 27,824.16 and 6,864.68 is: 10,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.84 : 27,824.16 = 6,864.68 : x
  2. Step 2: Convert to fraction form
    18,557.84/27,824.16 = 6,864.68/x
  3. Step 3: Cross multiply
    18,557.84x = 27,824.16 × 6,864.68
  4. Step 4: Simplify right side
    18,557.84x = 191,003,954.67
  5. Step 5: Solve for x
    x = 191,003,954.67/18,557.84
  6. Step 6: Final answer
    x = 10,292.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.