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Finding the Fourth Proportional to 5,307.78, 7,961.64 and 1,845

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Solution

The fourth proportional to 5,307.78, 7,961.64 and 1,845 is: 2,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.78 : 7,961.64 = 1,845 : x
  2. Step 2: Convert to fraction form
    5,307.78/7,961.64 = 1,845/x
  3. Step 3: Cross multiply
    5,307.78x = 7,961.64 × 1,845
  4. Step 4: Simplify right side
    5,307.78x = 14,689,225.80
  5. Step 5: Solve for x
    x = 14,689,225.80/5,307.78
  6. Step 6: Final answer
    x = 2,767.49

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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.