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Finding the Fourth Proportional to 12,079.84, 18,111.12 and 4,678

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Solution

The fourth proportional to 12,079.84, 18,111.12 and 4,678 is: 7,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.84 : 18,111.12 = 4,678 : x
  2. Step 2: Convert to fraction form
    12,079.84/18,111.12 = 4,678/x
  3. Step 3: Cross multiply
    12,079.84x = 18,111.12 × 4,678
  4. Step 4: Simplify right side
    12,079.84x = 84,723,819.36
  5. Step 5: Solve for x
    x = 84,723,819.36/12,079.84
  6. Step 6: Final answer
    x = 7,013.65

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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.