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Finding the Fourth Proportional to 20,683, 28,547.60 and 11,735.74

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Solution

The fourth proportional to 20,683, 28,547.60 and 11,735.74 is: 16,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683 : 28,547.60 = 11,735.74 : x
  2. Step 2: Convert to fraction form
    20,683/28,547.60 = 11,735.74/x
  3. Step 3: Cross multiply
    20,683x = 28,547.60 × 11,735.74
  4. Step 4: Simplify right side
    20,683x = 335,027,211.22
  5. Step 5: Solve for x
    x = 335,027,211.22/20,683
  6. Step 6: Final answer
    x = 16,198.19

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1.5x scale

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.