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Finding the Fourth Proportional to 9,800.16, 14,681.10 and 7,829.88

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Solution

The fourth proportional to 9,800.16, 14,681.10 and 7,829.88 is: 11,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.16 : 14,681.10 = 7,829.88 : x
  2. Step 2: Convert to fraction form
    9,800.16/14,681.10 = 7,829.88/x
  3. Step 3: Cross multiply
    9,800.16x = 14,681.10 × 7,829.88
  4. Step 4: Simplify right side
    9,800.16x = 114,951,212.12
  5. Step 5: Solve for x
    x = 114,951,212.12/9,800.16
  6. Step 6: Final answer
    x = 11,729.53

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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.