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Finding the Fourth Proportional to 15,856.21, 23,784.56 and 7,537.09

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Solution

The fourth proportional to 15,856.21, 23,784.56 and 7,537.09 is: 11,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.21 : 23,784.56 = 7,537.09 : x
  2. Step 2: Convert to fraction form
    15,856.21/23,784.56 = 7,537.09/x
  3. Step 3: Cross multiply
    15,856.21x = 23,784.56 × 7,537.09
  4. Step 4: Simplify right side
    15,856.21x = 179,266,369.33
  5. Step 5: Solve for x
    x = 179,266,369.33/15,856.21
  6. Step 6: Final answer
    x = 11,305.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.