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Finding the Fourth Proportional to 13,499, 20,258.94 and 9,368

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Solution

The fourth proportional to 13,499, 20,258.94 and 9,368 is: 14,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499 : 20,258.94 = 9,368 : x
  2. Step 2: Convert to fraction form
    13,499/20,258.94 = 9,368/x
  3. Step 3: Cross multiply
    13,499x = 20,258.94 × 9,368
  4. Step 4: Simplify right side
    13,499x = 189,785,749.92
  5. Step 5: Solve for x
    x = 189,785,749.92/13,499
  6. Step 6: Final answer
    x = 14,059.25

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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.