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Finding the Fourth Proportional to 13,897.55, 20,827.90 and 7,328.39

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Solution

The fourth proportional to 13,897.55, 20,827.90 and 7,328.39 is: 10,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.55 : 20,827.90 = 7,328.39 : x
  2. Step 2: Convert to fraction form
    13,897.55/20,827.90 = 7,328.39/x
  3. Step 3: Cross multiply
    13,897.55x = 20,827.90 × 7,328.39
  4. Step 4: Simplify right side
    13,897.55x = 152,634,833.30
  5. Step 5: Solve for x
    x = 152,634,833.30/13,897.55
  6. Step 6: Final answer
    x = 10,982.86

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1.5x scale

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.