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Finding the Fourth Proportional to 8,489.94, 12,735.25 and 4,045.32

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Solution

The fourth proportional to 8,489.94, 12,735.25 and 4,045.32 is: 6,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.94 : 12,735.25 = 4,045.32 : x
  2. Step 2: Convert to fraction form
    8,489.94/12,735.25 = 4,045.32/x
  3. Step 3: Cross multiply
    8,489.94x = 12,735.25 × 4,045.32
  4. Step 4: Simplify right side
    8,489.94x = 51,518,161.53
  5. Step 5: Solve for x
    x = 51,518,161.53/8,489.94
  6. Step 6: Final answer
    x = 6,068.14

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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.