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Finding the Fourth Proportional to 12,313, 18,469.50 and 4,920.76

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Solution

The fourth proportional to 12,313, 18,469.50 and 4,920.76 is: 7,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313 : 18,469.50 = 4,920.76 : x
  2. Step 2: Convert to fraction form
    12,313/18,469.50 = 4,920.76/x
  3. Step 3: Cross multiply
    12,313x = 18,469.50 × 4,920.76
  4. Step 4: Simplify right side
    12,313x = 90,883,976.82
  5. Step 5: Solve for x
    x = 90,883,976.82/12,313
  6. Step 6: Final answer
    x = 7,381.14

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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.