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Finding the Fourth Proportional to 9,828, 13,562.70 and 5,636.28

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Solution

The fourth proportional to 9,828, 13,562.70 and 5,636.28 is: 7,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 13,562.70 = 5,636.28 : x
  2. Step 2: Convert to fraction form
    9,828/13,562.70 = 5,636.28/x
  3. Step 3: Cross multiply
    9,828x = 13,562.70 × 5,636.28
  4. Step 4: Simplify right side
    9,828x = 76,443,174.76
  5. Step 5: Solve for x
    x = 76,443,174.76/9,828
  6. Step 6: Final answer
    x = 7,778.10

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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.