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Finding the Fourth Proportional to 14,822.72, 20,445.72 and 9,509.12

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Solution

The fourth proportional to 14,822.72, 20,445.72 and 9,509.12 is: 13,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.72 : 20,445.72 = 9,509.12 : x
  2. Step 2: Convert to fraction form
    14,822.72/20,445.72 = 9,509.12/x
  3. Step 3: Cross multiply
    14,822.72x = 20,445.72 × 9,509.12
  4. Step 4: Simplify right side
    14,822.72x = 194,420,804.97
  5. Step 5: Solve for x
    x = 194,420,804.97/14,822.72
  6. Step 6: Final answer
    x = 13,116.41

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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.