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Finding the Fourth Proportional to 30,471.29, 45,722.32 and 13,820.71

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Solution

The fourth proportional to 30,471.29, 45,722.32 and 13,820.71 is: 20,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.29 : 45,722.32 = 13,820.71 : x
  2. Step 2: Convert to fraction form
    30,471.29/45,722.32 = 13,820.71/x
  3. Step 3: Cross multiply
    30,471.29x = 45,722.32 × 13,820.71
  4. Step 4: Simplify right side
    30,471.29x = 631,914,925.25
  5. Step 5: Solve for x
    x = 631,914,925.25/30,471.29
  6. Step 6: Final answer
    x = 20,738.04

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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.