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Finding the Fourth Proportional to 9,829, 13,565.64 and 5,636.44

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Solution

The fourth proportional to 9,829, 13,565.64 and 5,636.44 is: 7,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829 : 13,565.64 = 5,636.44 : x
  2. Step 2: Convert to fraction form
    9,829/13,565.64 = 5,636.44/x
  3. Step 3: Cross multiply
    9,829x = 13,565.64 × 5,636.44
  4. Step 4: Simplify right side
    9,829x = 76,461,915.92
  5. Step 5: Solve for x
    x = 76,461,915.92/9,829
  6. Step 6: Final answer
    x = 7,779.22

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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.