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Finding the Fourth Proportional to 13,900.41, 20,849.40 and 5,135.40

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Solution

The fourth proportional to 13,900.41, 20,849.40 and 5,135.40 is: 7,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.41 : 20,849.40 = 5,135.40 : x
  2. Step 2: Convert to fraction form
    13,900.41/20,849.40 = 5,135.40/x
  3. Step 3: Cross multiply
    13,900.41x = 20,849.40 × 5,135.40
  4. Step 4: Simplify right side
    13,900.41x = 107,070,008.76
  5. Step 5: Solve for x
    x = 107,070,008.76/13,900.41
  6. Step 6: Final answer
    x = 7,702.65

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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.