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Finding the Fourth Proportional to 22,299.50, 30,774.28 and 13,345.28

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Solution

The fourth proportional to 22,299.50, 30,774.28 and 13,345.28 is: 18,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.50 : 30,774.28 = 13,345.28 : x
  2. Step 2: Convert to fraction form
    22,299.50/30,774.28 = 13,345.28/x
  3. Step 3: Cross multiply
    22,299.50x = 30,774.28 × 13,345.28
  4. Step 4: Simplify right side
    22,299.50x = 410,691,383.40
  5. Step 5: Solve for x
    x = 410,691,383.40/22,299.50
  6. Step 6: Final answer
    x = 18,417.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.