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Finding the Fourth Proportional to 13,405.61, 20,115.98 and 13,299.77

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Solution

The fourth proportional to 13,405.61, 20,115.98 and 13,299.77 is: 19,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.61 : 20,115.98 = 13,299.77 : x
  2. Step 2: Convert to fraction form
    13,405.61/20,115.98 = 13,299.77/x
  3. Step 3: Cross multiply
    13,405.61x = 20,115.98 × 13,299.77
  4. Step 4: Simplify right side
    13,405.61x = 267,537,740.25
  5. Step 5: Solve for x
    x = 267,537,740.25/13,405.61
  6. Step 6: Final answer
    x = 19,957.16

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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.