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Finding the Fourth Proportional to 3,702.76, 5,551.98 and 1,393

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Solution

The fourth proportional to 3,702.76, 5,551.98 and 1,393 is: 2,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.76 : 5,551.98 = 1,393 : x
  2. Step 2: Convert to fraction form
    3,702.76/5,551.98 = 1,393/x
  3. Step 3: Cross multiply
    3,702.76x = 5,551.98 × 1,393
  4. Step 4: Simplify right side
    3,702.76x = 7,733,908.14
  5. Step 5: Solve for x
    x = 7,733,908.14/3,702.76
  6. Step 6: Final answer
    x = 2,088.69

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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.