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Finding the Fourth Proportional to 20,345.78, 30,497.78 and 8,506.49

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Solution

The fourth proportional to 20,345.78, 30,497.78 and 8,506.49 is: 12,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.78 : 30,497.78 = 8,506.49 : x
  2. Step 2: Convert to fraction form
    20,345.78/30,497.78 = 8,506.49/x
  3. Step 3: Cross multiply
    20,345.78x = 30,497.78 × 8,506.49
  4. Step 4: Simplify right side
    20,345.78x = 259,428,929.37
  5. Step 5: Solve for x
    x = 259,428,929.37/20,345.78
  6. Step 6: Final answer
    x = 12,750.99

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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.