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Finding the Fourth Proportional to 15,641.44, 21,584.96 and 8,567.84

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Solution

The fourth proportional to 15,641.44, 21,584.96 and 8,567.84 is: 11,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.44 : 21,584.96 = 8,567.84 : x
  2. Step 2: Convert to fraction form
    15,641.44/21,584.96 = 8,567.84/x
  3. Step 3: Cross multiply
    15,641.44x = 21,584.96 × 8,567.84
  4. Step 4: Simplify right side
    15,641.44x = 184,936,483.69
  5. Step 5: Solve for x
    x = 184,936,483.69/15,641.44
  6. Step 6: Final answer
    x = 11,823.49

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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.