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Finding the Fourth Proportional to 9,312.66, 13,969.24 and 2,739.05

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Solution

The fourth proportional to 9,312.66, 13,969.24 and 2,739.05 is: 4,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.66 : 13,969.24 = 2,739.05 : x
  2. Step 2: Convert to fraction form
    9,312.66/13,969.24 = 2,739.05/x
  3. Step 3: Cross multiply
    9,312.66x = 13,969.24 × 2,739.05
  4. Step 4: Simplify right side
    9,312.66x = 38,262,446.82
  5. Step 5: Solve for x
    x = 38,262,446.82/9,312.66
  6. Step 6: Final answer
    x = 4,108.65

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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.