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Finding the Fourth Proportional to 11,538.90, 15,922.53 and 6,822.90

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Solution

The fourth proportional to 11,538.90, 15,922.53 and 6,822.90 is: 9,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.90 : 15,922.53 = 6,822.90 : x
  2. Step 2: Convert to fraction form
    11,538.90/15,922.53 = 6,822.90/x
  3. Step 3: Cross multiply
    11,538.90x = 15,922.53 × 6,822.90
  4. Step 4: Simplify right side
    11,538.90x = 108,637,829.94
  5. Step 5: Solve for x
    x = 108,637,829.94/11,538.90
  6. Step 6: Final answer
    x = 9,414.92

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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.