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Finding the Fourth Proportional to 15,085.75, 20,822.37 and 9,417.08

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Solution

The fourth proportional to 15,085.75, 20,822.37 and 9,417.08 is: 12,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085.75 : 20,822.37 = 9,417.08 : x
  2. Step 2: Convert to fraction form
    15,085.75/20,822.37 = 9,417.08/x
  3. Step 3: Cross multiply
    15,085.75x = 20,822.37 × 9,417.08
  4. Step 4: Simplify right side
    15,085.75x = 196,085,900.54
  5. Step 5: Solve for x
    x = 196,085,900.54/15,085.75
  6. Step 6: Final answer
    x = 12,998.09

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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.