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Finding the Fourth Proportional to 8,998.29, 12,429.75 and 8,159.94

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Solution

The fourth proportional to 8,998.29, 12,429.75 and 8,159.94 is: 11,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,998.29 : 12,429.75 = 8,159.94 : x
  2. Step 2: Convert to fraction form
    8,998.29/12,429.75 = 8,159.94/x
  3. Step 3: Cross multiply
    8,998.29x = 12,429.75 × 8,159.94
  4. Step 4: Simplify right side
    8,998.29x = 101,426,014.22
  5. Step 5: Solve for x
    x = 101,426,014.22/8,998.29
  6. Step 6: Final answer
    x = 11,271.70

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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.