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Finding the Fourth Proportional to 8,490.74, 12,741.06 and 3,559.94

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Solution

The fourth proportional to 8,490.74, 12,741.06 and 3,559.94 is: 5,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.74 : 12,741.06 = 3,559.94 : x
  2. Step 2: Convert to fraction form
    8,490.74/12,741.06 = 3,559.94/x
  3. Step 3: Cross multiply
    8,490.74x = 12,741.06 × 3,559.94
  4. Step 4: Simplify right side
    8,490.74x = 45,357,409.14
  5. Step 5: Solve for x
    x = 45,357,409.14/8,490.74
  6. Step 6: Final answer
    x = 5,341.99

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Why These Related Problems?

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