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Finding the Fourth Proportional to 14,752.98, 20,356.80 and 8,464.14

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Solution

The fourth proportional to 14,752.98, 20,356.80 and 8,464.14 is: 11,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.98 : 20,356.80 = 8,464.14 : x
  2. Step 2: Convert to fraction form
    14,752.98/20,356.80 = 8,464.14/x
  3. Step 3: Cross multiply
    14,752.98x = 20,356.80 × 8,464.14
  4. Step 4: Simplify right side
    14,752.98x = 172,302,805.15
  5. Step 5: Solve for x
    x = 172,302,805.15/14,752.98
  6. Step 6: Final answer
    x = 11,679.19

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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.