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Finding the Fourth Proportional to 27,143.19, 40,734.02 and 12,354.01

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Solution

The fourth proportional to 27,143.19, 40,734.02 and 12,354.01 is: 18,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.19 : 40,734.02 = 12,354.01 : x
  2. Step 2: Convert to fraction form
    27,143.19/40,734.02 = 12,354.01/x
  3. Step 3: Cross multiply
    27,143.19x = 40,734.02 × 12,354.01
  4. Step 4: Simplify right side
    27,143.19x = 503,228,419.47
  5. Step 5: Solve for x
    x = 503,228,419.47/27,143.19
  6. Step 6: Final answer
    x = 18,539.77

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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.