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Finding the Fourth Proportional to 15,085.90, 20,817.75 and 8,371

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Solution

The fourth proportional to 15,085.90, 20,817.75 and 8,371 is: 11,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085.90 : 20,817.75 = 8,371 : x
  2. Step 2: Convert to fraction form
    15,085.90/20,817.75 = 8,371/x
  3. Step 3: Cross multiply
    15,085.90x = 20,817.75 × 8,371
  4. Step 4: Simplify right side
    15,085.90x = 174,265,385.25
  5. Step 5: Solve for x
    x = 174,265,385.25/15,085.90
  6. Step 6: Final answer
    x = 11,551.54

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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.