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Finding the Fourth Proportional to 10,971.94, 16,448.19 and 8,386.42

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Solution

The fourth proportional to 10,971.94, 16,448.19 and 8,386.42 is: 12,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.94 : 16,448.19 = 8,386.42 : x
  2. Step 2: Convert to fraction form
    10,971.94/16,448.19 = 8,386.42/x
  3. Step 3: Cross multiply
    10,971.94x = 16,448.19 × 8,386.42
  4. Step 4: Simplify right side
    10,971.94x = 137,941,429.58
  5. Step 5: Solve for x
    x = 137,941,429.58/10,971.94
  6. Step 6: Final answer
    x = 12,572.20

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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.