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Finding the Fourth Proportional to 15,284.24, 21,094 and 8,571.68

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Solution

The fourth proportional to 15,284.24, 21,094 and 8,571.68 is: 11,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.24 : 21,094 = 8,571.68 : x
  2. Step 2: Convert to fraction form
    15,284.24/21,094 = 8,571.68/x
  3. Step 3: Cross multiply
    15,284.24x = 21,094 × 8,571.68
  4. Step 4: Simplify right side
    15,284.24x = 180,811,017.92
  5. Step 5: Solve for x
    x = 180,811,017.92/15,284.24
  6. Step 6: Final answer
    x = 11,829.90

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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.