Home / 3,027.81-4,542.21-947.34

Finding the Fourth Proportional to 3,027.81, 4,542.21 and 947.34

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Solution

The fourth proportional to 3,027.81, 4,542.21 and 947.34 is: 1,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.81 : 4,542.21 = 947.34 : x
  2. Step 2: Convert to fraction form
    3,027.81/4,542.21 = 947.34/x
  3. Step 3: Cross multiply
    3,027.81x = 4,542.21 × 947.34
  4. Step 4: Simplify right side
    3,027.81x = 4,303,017.22
  5. Step 5: Solve for x
    x = 4,303,017.22/3,027.81
  6. Step 6: Final answer
    x = 1,421.16

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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.