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Finding the Fourth Proportional to 6,398.06, 8,828.52 and 3,709.26

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Solution

The fourth proportional to 6,398.06, 8,828.52 and 3,709.26 is: 5,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.06 : 8,828.52 = 3,709.26 : x
  2. Step 2: Convert to fraction form
    6,398.06/8,828.52 = 3,709.26/x
  3. Step 3: Cross multiply
    6,398.06x = 8,828.52 × 3,709.26
  4. Step 4: Simplify right side
    6,398.06x = 32,747,276.10
  5. Step 5: Solve for x
    x = 32,747,276.10/6,398.06
  6. Step 6: Final answer
    x = 5,118.32

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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.