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Finding the Fourth Proportional to 5,307.85, 7,963.83 and 1,610.11

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Solution

The fourth proportional to 5,307.85, 7,963.83 and 1,610.11 is: 2,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.85 : 7,963.83 = 1,610.11 : x
  2. Step 2: Convert to fraction form
    5,307.85/7,963.83 = 1,610.11/x
  3. Step 3: Cross multiply
    5,307.85x = 7,963.83 × 1,610.11
  4. Step 4: Simplify right side
    5,307.85x = 12,822,602.50
  5. Step 5: Solve for x
    x = 12,822,602.50/5,307.85
  6. Step 6: Final answer
    x = 2,415.78

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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.