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Finding the Fourth Proportional to 13,897.55, 20,854.02 and 5,138.21

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Solution

The fourth proportional to 13,897.55, 20,854.02 and 5,138.21 is: 7,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.55 : 20,854.02 = 5,138.21 : x
  2. Step 2: Convert to fraction form
    13,897.55/20,854.02 = 5,138.21/x
  3. Step 3: Cross multiply
    13,897.55x = 20,854.02 × 5,138.21
  4. Step 4: Simplify right side
    13,897.55x = 107,152,334.10
  5. Step 5: Solve for x
    x = 107,152,334.10/13,897.55
  6. Step 6: Final answer
    x = 7,710.16

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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.