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Finding the Fourth Proportional to 21,547.08, 29,722.08 and 13,149

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Solution

The fourth proportional to 21,547.08, 29,722.08 and 13,149 is: 18,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.08 : 29,722.08 = 13,149 : x
  2. Step 2: Convert to fraction form
    21,547.08/29,722.08 = 13,149/x
  3. Step 3: Cross multiply
    21,547.08x = 29,722.08 × 13,149
  4. Step 4: Simplify right side
    21,547.08x = 390,815,629.92
  5. Step 5: Solve for x
    x = 390,815,629.92/21,547.08
  6. Step 6: Final answer
    x = 18,137.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.