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Finding the Fourth Proportional to 14,252.74, 21,378.63 and 6,456.10

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Solution

The fourth proportional to 14,252.74, 21,378.63 and 6,456.10 is: 9,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.74 : 21,378.63 = 6,456.10 : x
  2. Step 2: Convert to fraction form
    14,252.74/21,378.63 = 6,456.10/x
  3. Step 3: Cross multiply
    14,252.74x = 21,378.63 × 6,456.10
  4. Step 4: Simplify right side
    14,252.74x = 138,022,573.14
  5. Step 5: Solve for x
    x = 138,022,573.14/14,252.74
  6. Step 6: Final answer
    x = 9,683.93

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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.