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Finding the Fourth Proportional to 6,279.42, 9,420.71 and 4,434.15

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Solution

The fourth proportional to 6,279.42, 9,420.71 and 4,434.15 is: 6,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.42 : 9,420.71 = 4,434.15 : x
  2. Step 2: Convert to fraction form
    6,279.42/9,420.71 = 4,434.15/x
  3. Step 3: Cross multiply
    6,279.42x = 9,420.71 × 4,434.15
  4. Step 4: Simplify right side
    6,279.42x = 41,772,819.08
  5. Step 5: Solve for x
    x = 41,772,819.08/6,279.42
  6. Step 6: Final answer
    x = 6,652.34

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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.