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Finding the Fourth Proportional to 30,572.91, 45,856.28 and 8,388.51

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Solution

The fourth proportional to 30,572.91, 45,856.28 and 8,388.51 is: 12,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.91 : 45,856.28 = 8,388.51 : x
  2. Step 2: Convert to fraction form
    30,572.91/45,856.28 = 8,388.51/x
  3. Step 3: Cross multiply
    30,572.91x = 45,856.28 × 8,388.51
  4. Step 4: Simplify right side
    30,572.91x = 384,665,821.40
  5. Step 5: Solve for x
    x = 384,665,821.40/30,572.91
  6. Step 6: Final answer
    x = 12,581.92

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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.