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Finding the Fourth Proportional to 13,770.40, 20,649.15 and 5,004.16

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Solution

The fourth proportional to 13,770.40, 20,649.15 and 5,004.16 is: 7,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.40 : 20,649.15 = 5,004.16 : x
  2. Step 2: Convert to fraction form
    13,770.40/20,649.15 = 5,004.16/x
  3. Step 3: Cross multiply
    13,770.40x = 20,649.15 × 5,004.16
  4. Step 4: Simplify right side
    13,770.40x = 103,331,650.46
  5. Step 5: Solve for x
    x = 103,331,650.46/13,770.40
  6. Step 6: Final answer
    x = 7,503.90

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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.