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Finding the Fourth Proportional to 30,023.65, 41,432.80 and 16,411.71

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Solution

The fourth proportional to 30,023.65, 41,432.80 and 16,411.71 is: 22,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023.65 : 41,432.80 = 16,411.71 : x
  2. Step 2: Convert to fraction form
    30,023.65/41,432.80 = 16,411.71/x
  3. Step 3: Cross multiply
    30,023.65x = 41,432.80 × 16,411.71
  4. Step 4: Simplify right side
    30,023.65x = 679,983,098.09
  5. Step 5: Solve for x
    x = 679,983,098.09/30,023.65
  6. Step 6: Final answer
    x = 22,648.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.