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Finding the Fourth Proportional to 19,927.50, 27,500.68 and 12,378

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Solution

The fourth proportional to 19,927.50, 27,500.68 and 12,378 is: 17,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.50 : 27,500.68 = 12,378 : x
  2. Step 2: Convert to fraction form
    19,927.50/27,500.68 = 12,378/x
  3. Step 3: Cross multiply
    19,927.50x = 27,500.68 × 12,378
  4. Step 4: Simplify right side
    19,927.50x = 340,403,417.04
  5. Step 5: Solve for x
    x = 340,403,417.04/19,927.50
  6. Step 6: Final answer
    x = 17,082.09

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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.