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Finding the Fourth Proportional to 6,821.32, 9,420.18 and 6,433.48

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Solution

The fourth proportional to 6,821.32, 9,420.18 and 6,433.48 is: 8,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.32 : 9,420.18 = 6,433.48 : x
  2. Step 2: Convert to fraction form
    6,821.32/9,420.18 = 6,433.48/x
  3. Step 3: Cross multiply
    6,821.32x = 9,420.18 × 6,433.48
  4. Step 4: Simplify right side
    6,821.32x = 60,604,539.63
  5. Step 5: Solve for x
    x = 60,604,539.63/6,821.32
  6. Step 6: Final answer
    x = 8,884.58

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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.