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Finding the Fourth Proportional to 30,275.92, 45,429 and 19,151.92

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Solution

The fourth proportional to 30,275.92, 45,429 and 19,151.92 is: 28,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.92 : 45,429 = 19,151.92 : x
  2. Step 2: Convert to fraction form
    30,275.92/45,429 = 19,151.92/x
  3. Step 3: Cross multiply
    30,275.92x = 45,429 × 19,151.92
  4. Step 4: Simplify right side
    30,275.92x = 870,052,573.68
  5. Step 5: Solve for x
    x = 870,052,573.68/30,275.92
  6. Step 6: Final answer
    x = 28,737.44

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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.