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Finding the Fourth Proportional to 12,866.78, 19,303.82 and 6,631.36

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Solution

The fourth proportional to 12,866.78, 19,303.82 and 6,631.36 is: 9,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.78 : 19,303.82 = 6,631.36 : x
  2. Step 2: Convert to fraction form
    12,866.78/19,303.82 = 6,631.36/x
  3. Step 3: Cross multiply
    12,866.78x = 19,303.82 × 6,631.36
  4. Step 4: Simplify right side
    12,866.78x = 128,010,579.80
  5. Step 5: Solve for x
    x = 128,010,579.80/12,866.78
  6. Step 6: Final answer
    x = 9,948.92

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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.