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Finding the Fourth Proportional to 28,466.49, 42,701.29 and 11,828.20

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Solution

The fourth proportional to 28,466.49, 42,701.29 and 11,828.20 is: 17,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,466.49 : 42,701.29 = 11,828.20 : x
  2. Step 2: Convert to fraction form
    28,466.49/42,701.29 = 11,828.20/x
  3. Step 3: Cross multiply
    28,466.49x = 42,701.29 × 11,828.20
  4. Step 4: Simplify right side
    28,466.49x = 505,079,398.38
  5. Step 5: Solve for x
    x = 505,079,398.38/28,466.49
  6. Step 6: Final answer
    x = 17,742.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.