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Finding the Fourth Proportional to 13,303.14, 19,919.52 and 8,031.12

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Solution

The fourth proportional to 13,303.14, 19,919.52 and 8,031.12 is: 12,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.14 : 19,919.52 = 8,031.12 : x
  2. Step 2: Convert to fraction form
    13,303.14/19,919.52 = 8,031.12/x
  3. Step 3: Cross multiply
    13,303.14x = 19,919.52 × 8,031.12
  4. Step 4: Simplify right side
    13,303.14x = 159,976,055.46
  5. Step 5: Solve for x
    x = 159,976,055.46/13,303.14
  6. Step 6: Final answer
    x = 12,025.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.