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Finding the Fourth Proportional to 5,266.49, 7,899.73 and 1,370.86

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Solution

The fourth proportional to 5,266.49, 7,899.73 and 1,370.86 is: 2,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.49 : 7,899.73 = 1,370.86 : x
  2. Step 2: Convert to fraction form
    5,266.49/7,899.73 = 1,370.86/x
  3. Step 3: Cross multiply
    5,266.49x = 7,899.73 × 1,370.86
  4. Step 4: Simplify right side
    5,266.49x = 10,829,400.69
  5. Step 5: Solve for x
    x = 10,829,400.69/5,266.49
  6. Step 6: Final answer
    x = 2,056.29

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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.