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Finding the Fourth Proportional to 24,425.66, 36,638.78 and 7,785.60

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Solution

The fourth proportional to 24,425.66, 36,638.78 and 7,785.60 is: 11,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.66 : 36,638.78 = 7,785.60 : x
  2. Step 2: Convert to fraction form
    24,425.66/36,638.78 = 7,785.60/x
  3. Step 3: Cross multiply
    24,425.66x = 36,638.78 × 7,785.60
  4. Step 4: Simplify right side
    24,425.66x = 285,254,885.57
  5. Step 5: Solve for x
    x = 285,254,885.57/24,425.66
  6. Step 6: Final answer
    x = 11,678.49

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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.