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Finding the Fourth Proportional to 6,128.70, 9,190.35 and 2,429.70

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Solution

The fourth proportional to 6,128.70, 9,190.35 and 2,429.70 is: 3,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.70 : 9,190.35 = 2,429.70 : x
  2. Step 2: Convert to fraction form
    6,128.70/9,190.35 = 2,429.70/x
  3. Step 3: Cross multiply
    6,128.70x = 9,190.35 × 2,429.70
  4. Step 4: Simplify right side
    6,128.70x = 22,329,793.40
  5. Step 5: Solve for x
    x = 22,329,793.40/6,128.70
  6. Step 6: Final answer
    x = 3,643.48

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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.