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Finding the Fourth Proportional to 30,819.92, 42,253.96 and 30,259.40

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Solution

The fourth proportional to 30,819.92, 42,253.96 and 30,259.40 is: 41,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.92 : 42,253.96 = 30,259.40 : x
  2. Step 2: Convert to fraction form
    30,819.92/42,253.96 = 30,259.40/x
  3. Step 3: Cross multiply
    30,819.92x = 42,253.96 × 30,259.40
  4. Step 4: Simplify right side
    30,819.92x = 1,278,579,477.22
  5. Step 5: Solve for x
    x = 1,278,579,477.22/30,819.92
  6. Step 6: Final answer
    x = 41,485.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.