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Finding the Fourth Proportional to 2,043.10, 3,065.10 and 947.20

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Solution

The fourth proportional to 2,043.10, 3,065.10 and 947.20 is: 1,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.10 : 3,065.10 = 947.20 : x
  2. Step 2: Convert to fraction form
    2,043.10/3,065.10 = 947.20/x
  3. Step 3: Cross multiply
    2,043.10x = 3,065.10 × 947.20
  4. Step 4: Simplify right side
    2,043.10x = 2,903,262.72
  5. Step 5: Solve for x
    x = 2,903,262.72/2,043.10
  6. Step 6: Final answer
    x = 1,421.01

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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.