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Finding the Fourth Proportional to 5,143.66, 7,709 and 4,288.30

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Solution

The fourth proportional to 5,143.66, 7,709 and 4,288.30 is: 6,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.66 : 7,709 = 4,288.30 : x
  2. Step 2: Convert to fraction form
    5,143.66/7,709 = 4,288.30/x
  3. Step 3: Cross multiply
    5,143.66x = 7,709 × 4,288.30
  4. Step 4: Simplify right side
    5,143.66x = 33,058,504.70
  5. Step 5: Solve for x
    x = 33,058,504.70/5,143.66
  6. Step 6: Final answer
    x = 6,427.04

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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.