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Finding the Fourth Proportional to 13,051.71, 19,578.51 and 6,471.27

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Solution

The fourth proportional to 13,051.71, 19,578.51 and 6,471.27 is: 9,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.71 : 19,578.51 = 6,471.27 : x
  2. Step 2: Convert to fraction form
    13,051.71/19,578.51 = 6,471.27/x
  3. Step 3: Cross multiply
    13,051.71x = 19,578.51 × 6,471.27
  4. Step 4: Simplify right side
    13,051.71x = 126,697,824.41
  5. Step 5: Solve for x
    x = 126,697,824.41/13,051.71
  6. Step 6: Final answer
    x = 9,707.37

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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.