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Finding the Fourth Proportional to 12,678, 19,003.58 and 4,777.08

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Solution

The fourth proportional to 12,678, 19,003.58 and 4,777.08 is: 7,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 19,003.58 = 4,777.08 : x
  2. Step 2: Convert to fraction form
    12,678/19,003.58 = 4,777.08/x
  3. Step 3: Cross multiply
    12,678x = 19,003.58 × 4,777.08
  4. Step 4: Simplify right side
    12,678x = 90,781,621.95
  5. Step 5: Solve for x
    x = 90,781,621.95/12,678
  6. Step 6: Final answer
    x = 7,160.56

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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.