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Finding the Fourth Proportional to 12,808.64, 19,214.40 and 4,040.96

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Solution

The fourth proportional to 12,808.64, 19,214.40 and 4,040.96 is: 6,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.64 : 19,214.40 = 4,040.96 : x
  2. Step 2: Convert to fraction form
    12,808.64/19,214.40 = 4,040.96/x
  3. Step 3: Cross multiply
    12,808.64x = 19,214.40 × 4,040.96
  4. Step 4: Simplify right side
    12,808.64x = 77,644,621.82
  5. Step 5: Solve for x
    x = 77,644,621.82/12,808.64
  6. Step 6: Final answer
    x = 6,061.89

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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.