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Finding the Fourth Proportional to 30,471.76, 45,689.20 and 19,929.08

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Solution

The fourth proportional to 30,471.76, 45,689.20 and 19,929.08 is: 29,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.76 : 45,689.20 = 19,929.08 : x
  2. Step 2: Convert to fraction form
    30,471.76/45,689.20 = 19,929.08/x
  3. Step 3: Cross multiply
    30,471.76x = 45,689.20 × 19,929.08
  4. Step 4: Simplify right side
    30,471.76x = 910,543,721.94
  5. Step 5: Solve for x
    x = 910,543,721.94/30,471.76
  6. Step 6: Final answer
    x = 29,881.56

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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.