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Finding the Fourth Proportional to 14,130.32, 19,500.78 and 8,162.24

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Solution

The fourth proportional to 14,130.32, 19,500.78 and 8,162.24 is: 11,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.32 : 19,500.78 = 8,162.24 : x
  2. Step 2: Convert to fraction form
    14,130.32/19,500.78 = 8,162.24/x
  3. Step 3: Cross multiply
    14,130.32x = 19,500.78 × 8,162.24
  4. Step 4: Simplify right side
    14,130.32x = 159,170,046.55
  5. Step 5: Solve for x
    x = 159,170,046.55/14,130.32
  6. Step 6: Final answer
    x = 11,264.43

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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.