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Finding the Fourth Proportional to 3,027.45, 4,541.18 and 947.63

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Solution

The fourth proportional to 3,027.45, 4,541.18 and 947.63 is: 1,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.45 : 4,541.18 = 947.63 : x
  2. Step 2: Convert to fraction form
    3,027.45/4,541.18 = 947.63/x
  3. Step 3: Cross multiply
    3,027.45x = 4,541.18 × 947.63
  4. Step 4: Simplify right side
    3,027.45x = 4,303,330.96
  5. Step 5: Solve for x
    x = 4,303,330.96/3,027.45
  6. Step 6: Final answer
    x = 1,421.44

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Similar ratio
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1.5x scale

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.