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Finding the Fourth Proportional to 15,885.32, 21,923 and 8,813.12

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Solution

The fourth proportional to 15,885.32, 21,923 and 8,813.12 is: 12,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.32 : 21,923 = 8,813.12 : x
  2. Step 2: Convert to fraction form
    15,885.32/21,923 = 8,813.12/x
  3. Step 3: Cross multiply
    15,885.32x = 21,923 × 8,813.12
  4. Step 4: Simplify right side
    15,885.32x = 193,210,029.76
  5. Step 5: Solve for x
    x = 193,210,029.76/15,885.32
  6. Step 6: Final answer
    x = 12,162.80

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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.