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Finding the Fourth Proportional to 6,140.61, 8,475.84 and 3,489.48

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Solution

The fourth proportional to 6,140.61, 8,475.84 and 3,489.48 is: 4,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.61 : 8,475.84 = 3,489.48 : x
  2. Step 2: Convert to fraction form
    6,140.61/8,475.84 = 3,489.48/x
  3. Step 3: Cross multiply
    6,140.61x = 8,475.84 × 3,489.48
  4. Step 4: Simplify right side
    6,140.61x = 29,576,274.16
  5. Step 5: Solve for x
    x = 29,576,274.16/6,140.61
  6. Step 6: Final answer
    x = 4,816.50

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1.5x scale

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.