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Finding the Fourth Proportional to 16,351.60, 22,565 and 8,899.60

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Solution

The fourth proportional to 16,351.60, 22,565 and 8,899.60 is: 12,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.60 : 22,565 = 8,899.60 : x
  2. Step 2: Convert to fraction form
    16,351.60/22,565 = 8,899.60/x
  3. Step 3: Cross multiply
    16,351.60x = 22,565 × 8,899.60
  4. Step 4: Simplify right side
    16,351.60x = 200,819,474
  5. Step 5: Solve for x
    x = 200,819,474/16,351.60
  6. Step 6: Final answer
    x = 12,281.33

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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.