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Finding the Fourth Proportional to 3,129.84, 4,702.05 and 3,005.91

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Solution

The fourth proportional to 3,129.84, 4,702.05 and 3,005.91 is: 4,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.84 : 4,702.05 = 3,005.91 : x
  2. Step 2: Convert to fraction form
    3,129.84/4,702.05 = 3,005.91/x
  3. Step 3: Cross multiply
    3,129.84x = 4,702.05 × 3,005.91
  4. Step 4: Simplify right side
    3,129.84x = 14,133,939.12
  5. Step 5: Solve for x
    x = 14,133,939.12/3,129.84
  6. Step 6: Final answer
    x = 4,515.87

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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.