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Finding the Fourth Proportional to 3,543.02, 5,317.71 and 1,980.74

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Solution

The fourth proportional to 3,543.02, 5,317.71 and 1,980.74 is: 2,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.02 : 5,317.71 = 1,980.74 : x
  2. Step 2: Convert to fraction form
    3,543.02/5,317.71 = 1,980.74/x
  3. Step 3: Cross multiply
    3,543.02x = 5,317.71 × 1,980.74
  4. Step 4: Simplify right side
    3,543.02x = 10,533,000.91
  5. Step 5: Solve for x
    x = 10,533,000.91/3,543.02
  6. Step 6: Final answer
    x = 2,972.89

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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.