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Finding the Fourth Proportional to 2,100.62, 3,150.80 and 947.18

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Solution

The fourth proportional to 2,100.62, 3,150.80 and 947.18 is: 1,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.62 : 3,150.80 = 947.18 : x
  2. Step 2: Convert to fraction form
    2,100.62/3,150.80 = 947.18/x
  3. Step 3: Cross multiply
    2,100.62x = 3,150.80 × 947.18
  4. Step 4: Simplify right side
    2,100.62x = 2,984,374.74
  5. Step 5: Solve for x
    x = 2,984,374.74/2,100.62
  6. Step 6: Final answer
    x = 1,420.71

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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.