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Finding the Fourth Proportional to 14,754.40, 20,359.92 and 8,465.44

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Solution

The fourth proportional to 14,754.40, 20,359.92 and 8,465.44 is: 11,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754.40 : 20,359.92 = 8,465.44 : x
  2. Step 2: Convert to fraction form
    14,754.40/20,359.92 = 8,465.44/x
  3. Step 3: Cross multiply
    14,754.40x = 20,359.92 × 8,465.44
  4. Step 4: Simplify right side
    14,754.40x = 172,355,681.16
  5. Step 5: Solve for x
    x = 172,355,681.16/14,754.40
  6. Step 6: Final answer
    x = 11,681.65

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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.