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Finding the Fourth Proportional to 2,641.76, 3,963.44 and 1,543.80

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Solution

The fourth proportional to 2,641.76, 3,963.44 and 1,543.80 is: 2,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.76 : 3,963.44 = 1,543.80 : x
  2. Step 2: Convert to fraction form
    2,641.76/3,963.44 = 1,543.80/x
  3. Step 3: Cross multiply
    2,641.76x = 3,963.44 × 1,543.80
  4. Step 4: Simplify right side
    2,641.76x = 6,118,762.53
  5. Step 5: Solve for x
    x = 6,118,762.53/2,641.76
  6. Step 6: Final answer
    x = 2,316.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.