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Finding the Fourth Proportional to 20,516, 30,707.40 and 10,641.20

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Solution

The fourth proportional to 20,516, 30,707.40 and 10,641.20 is: 15,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 30,707.40 = 10,641.20 : x
  2. Step 2: Convert to fraction form
    20,516/30,707.40 = 10,641.20/x
  3. Step 3: Cross multiply
    20,516x = 30,707.40 × 10,641.20
  4. Step 4: Simplify right side
    20,516x = 326,763,584.88
  5. Step 5: Solve for x
    x = 326,763,584.88/20,516
  6. Step 6: Final answer
    x = 15,927.26

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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.