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Finding the Fourth Proportional to 10,829.80, 16,235.10 and 9,663.40

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Solution

The fourth proportional to 10,829.80, 16,235.10 and 9,663.40 is: 14,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.80 : 16,235.10 = 9,663.40 : x
  2. Step 2: Convert to fraction form
    10,829.80/16,235.10 = 9,663.40/x
  3. Step 3: Cross multiply
    10,829.80x = 16,235.10 × 9,663.40
  4. Step 4: Simplify right side
    10,829.80x = 156,886,265.34
  5. Step 5: Solve for x
    x = 156,886,265.34/10,829.80
  6. Step 6: Final answer
    x = 14,486.53

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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.