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Finding the Fourth Proportional to 6,541.04, 9,027.84 and 3,890

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Solution

The fourth proportional to 6,541.04, 9,027.84 and 3,890 is: 5,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.04 : 9,027.84 = 3,890 : x
  2. Step 2: Convert to fraction form
    6,541.04/9,027.84 = 3,890/x
  3. Step 3: Cross multiply
    6,541.04x = 9,027.84 × 3,890
  4. Step 4: Simplify right side
    6,541.04x = 35,118,297.60
  5. Step 5: Solve for x
    x = 35,118,297.60/6,541.04
  6. Step 6: Final answer
    x = 5,368.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.