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Finding the Fourth Proportional to 13,569, 20,353.89 and 4,335

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Solution

The fourth proportional to 13,569, 20,353.89 and 4,335 is: 6,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569 : 20,353.89 = 4,335 : x
  2. Step 2: Convert to fraction form
    13,569/20,353.89 = 4,335/x
  3. Step 3: Cross multiply
    13,569x = 20,353.89 × 4,335
  4. Step 4: Simplify right side
    13,569x = 88,234,113.15
  5. Step 5: Solve for x
    x = 88,234,113.15/13,569
  6. Step 6: Final answer
    x = 6,502.62

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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.