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Finding the Fourth Proportional to 7,702.35, 11,553.42 and 1,858.91

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Solution

The fourth proportional to 7,702.35, 11,553.42 and 1,858.91 is: 2,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.35 : 11,553.42 = 1,858.91 : x
  2. Step 2: Convert to fraction form
    7,702.35/11,553.42 = 1,858.91/x
  3. Step 3: Cross multiply
    7,702.35x = 11,553.42 × 1,858.91
  4. Step 4: Simplify right side
    7,702.35x = 21,476,767.97
  5. Step 5: Solve for x
    x = 21,476,767.97/7,702.35
  6. Step 6: Final answer
    x = 2,788.34

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1.5x scale

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.