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Finding the Fourth Proportional to 6,443, 8,884.45 and 4,048.23

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Solution

The fourth proportional to 6,443, 8,884.45 and 4,048.23 is: 5,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443 : 8,884.45 = 4,048.23 : x
  2. Step 2: Convert to fraction form
    6,443/8,884.45 = 4,048.23/x
  3. Step 3: Cross multiply
    6,443x = 8,884.45 × 4,048.23
  4. Step 4: Simplify right side
    6,443x = 35,966,297.02
  5. Step 5: Solve for x
    x = 35,966,297.02/6,443
  6. Step 6: Final answer
    x = 5,582.23

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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.