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Finding the Fourth Proportional to 30,733.60, 42,401.28 and 20,129.28

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Solution

The fourth proportional to 30,733.60, 42,401.28 and 20,129.28 is: 27,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.60 : 42,401.28 = 20,129.28 : x
  2. Step 2: Convert to fraction form
    30,733.60/42,401.28 = 20,129.28/x
  3. Step 3: Cross multiply
    30,733.60x = 42,401.28 × 20,129.28
  4. Step 4: Simplify right side
    30,733.60x = 853,507,237.48
  5. Step 5: Solve for x
    x = 853,507,237.48/30,733.60
  6. Step 6: Final answer
    x = 27,771.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.