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Finding the Fourth Proportional to 8,742.96, 13,111.20 and 2,898

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Solution

The fourth proportional to 8,742.96, 13,111.20 and 2,898 is: 4,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.96 : 13,111.20 = 2,898 : x
  2. Step 2: Convert to fraction form
    8,742.96/13,111.20 = 2,898/x
  3. Step 3: Cross multiply
    8,742.96x = 13,111.20 × 2,898
  4. Step 4: Simplify right side
    8,742.96x = 37,996,257.60
  5. Step 5: Solve for x
    x = 37,996,257.60/8,742.96
  6. Step 6: Final answer
    x = 4,345.93

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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.