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Finding the Fourth Proportional to 6,449.90, 8,900.89 and 4,210.45

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Solution

The fourth proportional to 6,449.90, 8,900.89 and 4,210.45 is: 5,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.90 : 8,900.89 = 4,210.45 : x
  2. Step 2: Convert to fraction form
    6,449.90/8,900.89 = 4,210.45/x
  3. Step 3: Cross multiply
    6,449.90x = 8,900.89 × 4,210.45
  4. Step 4: Simplify right side
    6,449.90x = 37,476,719.52
  5. Step 5: Solve for x
    x = 37,476,719.52/6,449.90
  6. Step 6: Final answer
    x = 5,810.44

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Half scale
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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.