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Finding the Fourth Proportional to 16,403, 22,636.14 and 9,779

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Solution

The fourth proportional to 16,403, 22,636.14 and 9,779 is: 13,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403 : 22,636.14 = 9,779 : x
  2. Step 2: Convert to fraction form
    16,403/22,636.14 = 9,779/x
  3. Step 3: Cross multiply
    16,403x = 22,636.14 × 9,779
  4. Step 4: Simplify right side
    16,403x = 221,358,813.06
  5. Step 5: Solve for x
    x = 221,358,813.06/16,403
  6. Step 6: Final answer
    x = 13,495.02

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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.