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Finding the Fourth Proportional to 23,389, 32,277.78 and 13,453

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Solution

The fourth proportional to 23,389, 32,277.78 and 13,453 is: 18,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,389 : 32,277.78 = 13,453 : x
  2. Step 2: Convert to fraction form
    23,389/32,277.78 = 13,453/x
  3. Step 3: Cross multiply
    23,389x = 32,277.78 × 13,453
  4. Step 4: Simplify right side
    23,389x = 434,232,974.34
  5. Step 5: Solve for x
    x = 434,232,974.34/23,389
  6. Step 6: Final answer
    x = 18,565.69

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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.