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Finding the Fourth Proportional to 6,368.90, 9,553.01 and 1,985.85

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Solution

The fourth proportional to 6,368.90, 9,553.01 and 1,985.85 is: 2,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.90 : 9,553.01 = 1,985.85 : x
  2. Step 2: Convert to fraction form
    6,368.90/9,553.01 = 1,985.85/x
  3. Step 3: Cross multiply
    6,368.90x = 9,553.01 × 1,985.85
  4. Step 4: Simplify right side
    6,368.90x = 18,970,834.98
  5. Step 5: Solve for x
    x = 18,970,834.98/6,368.90
  6. Step 6: Final answer
    x = 2,978.67

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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.