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Finding the Fourth Proportional to 3,695.55, 5,543.17 and 1,720.50

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Solution

The fourth proportional to 3,695.55, 5,543.17 and 1,720.50 is: 2,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.55 : 5,543.17 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    3,695.55/5,543.17 = 1,720.50/x
  3. Step 3: Cross multiply
    3,695.55x = 5,543.17 × 1,720.50
  4. Step 4: Simplify right side
    3,695.55x = 9,537,023.99
  5. Step 5: Solve for x
    x = 9,537,023.99/3,695.55
  6. Step 6: Final answer
    x = 2,580.68

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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.