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Finding the Fourth Proportional to 18,357.84, 27,459 and 12,448.08

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Solution

The fourth proportional to 18,357.84, 27,459 and 12,448.08 is: 18,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.84 : 27,459 = 12,448.08 : x
  2. Step 2: Convert to fraction form
    18,357.84/27,459 = 12,448.08/x
  3. Step 3: Cross multiply
    18,357.84x = 27,459 × 12,448.08
  4. Step 4: Simplify right side
    18,357.84x = 341,811,828.72
  5. Step 5: Solve for x
    x = 341,811,828.72/18,357.84
  6. Step 6: Final answer
    x = 18,619.39

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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.