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Finding the Fourth Proportional to 19,755.76, 29,633.16 and 6,428.74

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Solution

The fourth proportional to 19,755.76, 29,633.16 and 6,428.74 is: 9,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.76 : 29,633.16 = 6,428.74 : x
  2. Step 2: Convert to fraction form
    19,755.76/29,633.16 = 6,428.74/x
  3. Step 3: Cross multiply
    19,755.76x = 29,633.16 × 6,428.74
  4. Step 4: Simplify right side
    19,755.76x = 190,503,881.02
  5. Step 5: Solve for x
    x = 190,503,881.02/19,755.76
  6. Step 6: Final answer
    x = 9,642.95

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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.