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Finding the Fourth Proportional to 6,434.57, 8,879.70 and 3,490.57

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Solution

The fourth proportional to 6,434.57, 8,879.70 and 3,490.57 is: 4,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.57 : 8,879.70 = 3,490.57 : x
  2. Step 2: Convert to fraction form
    6,434.57/8,879.70 = 3,490.57/x
  3. Step 3: Cross multiply
    6,434.57x = 8,879.70 × 3,490.57
  4. Step 4: Simplify right side
    6,434.57x = 30,995,214.43
  5. Step 5: Solve for x
    x = 30,995,214.43/6,434.57
  6. Step 6: Final answer
    x = 4,816.98

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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.