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Finding the Fourth Proportional to 30,471.66, 42,048.72 and 17,726.85

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Solution

The fourth proportional to 30,471.66, 42,048.72 and 17,726.85 is: 24,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.66 : 42,048.72 = 17,726.85 : x
  2. Step 2: Convert to fraction form
    30,471.66/42,048.72 = 17,726.85/x
  3. Step 3: Cross multiply
    30,471.66x = 42,048.72 × 17,726.85
  4. Step 4: Simplify right side
    30,471.66x = 745,391,352.13
  5. Step 5: Solve for x
    x = 745,391,352.13/30,471.66
  6. Step 6: Final answer
    x = 24,461.79

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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.