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Finding the Fourth Proportional to 12,996.65, 19,494.80 and 3,135.84

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Solution

The fourth proportional to 12,996.65, 19,494.80 and 3,135.84 is: 4,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.65 : 19,494.80 = 3,135.84 : x
  2. Step 2: Convert to fraction form
    12,996.65/19,494.80 = 3,135.84/x
  3. Step 3: Cross multiply
    12,996.65x = 19,494.80 × 3,135.84
  4. Step 4: Simplify right side
    12,996.65x = 61,132,569.71
  5. Step 5: Solve for x
    x = 61,132,569.71/12,996.65
  6. Step 6: Final answer
    x = 4,703.72

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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.