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Finding the Fourth Proportional to 14,129.44, 19,499.54 and 7,841.81

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Solution

The fourth proportional to 14,129.44, 19,499.54 and 7,841.81 is: 10,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.44 : 19,499.54 = 7,841.81 : x
  2. Step 2: Convert to fraction form
    14,129.44/19,499.54 = 7,841.81/x
  3. Step 3: Cross multiply
    14,129.44x = 19,499.54 × 7,841.81
  4. Step 4: Simplify right side
    14,129.44x = 152,911,697.31
  5. Step 5: Solve for x
    x = 152,911,697.31/14,129.44
  6. Step 6: Final answer
    x = 10,822.21

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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.