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Finding the Fourth Proportional to 12,521, 18,782.78 and 4,313

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Solution

The fourth proportional to 12,521, 18,782.78 and 4,313 is: 6,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521 : 18,782.78 = 4,313 : x
  2. Step 2: Convert to fraction form
    12,521/18,782.78 = 4,313/x
  3. Step 3: Cross multiply
    12,521x = 18,782.78 × 4,313
  4. Step 4: Simplify right side
    12,521x = 81,010,130.14
  5. Step 5: Solve for x
    x = 81,010,130.14/12,521
  6. Step 6: Final answer
    x = 6,469.94

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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.