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Finding the Fourth Proportional to 16,530.78, 22,809.03 and 9,815.46

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Solution

The fourth proportional to 16,530.78, 22,809.03 and 9,815.46 is: 13,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.78 : 22,809.03 = 9,815.46 : x
  2. Step 2: Convert to fraction form
    16,530.78/22,809.03 = 9,815.46/x
  3. Step 3: Cross multiply
    16,530.78x = 22,809.03 × 9,815.46
  4. Step 4: Simplify right side
    16,530.78x = 223,881,121.60
  5. Step 5: Solve for x
    x = 223,881,121.60/16,530.78
  6. Step 6: Final answer
    x = 13,543.29

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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.