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Finding the Fourth Proportional to 16,578.60, 22,881.60 and 9,509.64

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Solution

The fourth proportional to 16,578.60, 22,881.60 and 9,509.64 is: 13,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.60 : 22,881.60 = 9,509.64 : x
  2. Step 2: Convert to fraction form
    16,578.60/22,881.60 = 9,509.64/x
  3. Step 3: Cross multiply
    16,578.60x = 22,881.60 × 9,509.64
  4. Step 4: Simplify right side
    16,578.60x = 217,595,778.62
  5. Step 5: Solve for x
    x = 217,595,778.62/16,578.60
  6. Step 6: Final answer
    x = 13,125.10

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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.