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Finding the Fourth Proportional to 6,102.55, 9,155.55 and 1,720.05

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Solution

The fourth proportional to 6,102.55, 9,155.55 and 1,720.05 is: 2,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.55 : 9,155.55 = 1,720.05 : x
  2. Step 2: Convert to fraction form
    6,102.55/9,155.55 = 1,720.05/x
  3. Step 3: Cross multiply
    6,102.55x = 9,155.55 × 1,720.05
  4. Step 4: Simplify right side
    6,102.55x = 15,748,003.78
  5. Step 5: Solve for x
    x = 15,748,003.78/6,102.55
  6. Step 6: Final answer
    x = 2,580.56

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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.