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Finding the Fourth Proportional to 13,064.78, 19,585.32 and 8,386.11

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Solution

The fourth proportional to 13,064.78, 19,585.32 and 8,386.11 is: 12,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.78 : 19,585.32 = 8,386.11 : x
  2. Step 2: Convert to fraction form
    13,064.78/19,585.32 = 8,386.11/x
  3. Step 3: Cross multiply
    13,064.78x = 19,585.32 × 8,386.11
  4. Step 4: Simplify right side
    13,064.78x = 164,244,647.91
  5. Step 5: Solve for x
    x = 164,244,647.91/13,064.78
  6. Step 6: Final answer
    x = 12,571.56

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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.