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Finding the Fourth Proportional to 12,301.60, 18,423.60 and 8,384.80

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Solution

The fourth proportional to 12,301.60, 18,423.60 and 8,384.80 is: 12,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.60 : 18,423.60 = 8,384.80 : x
  2. Step 2: Convert to fraction form
    12,301.60/18,423.60 = 8,384.80/x
  3. Step 3: Cross multiply
    12,301.60x = 18,423.60 × 8,384.80
  4. Step 4: Simplify right side
    12,301.60x = 154,478,201.28
  5. Step 5: Solve for x
    x = 154,478,201.28/12,301.60
  6. Step 6: Final answer
    x = 12,557.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.