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Finding the Fourth Proportional to 5,605.12, 7,734.90 and 3,215.44

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Solution

The fourth proportional to 5,605.12, 7,734.90 and 3,215.44 is: 4,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.12 : 7,734.90 = 3,215.44 : x
  2. Step 2: Convert to fraction form
    5,605.12/7,734.90 = 3,215.44/x
  3. Step 3: Cross multiply
    5,605.12x = 7,734.90 × 3,215.44
  4. Step 4: Simplify right side
    5,605.12x = 24,871,106.86
  5. Step 5: Solve for x
    x = 24,871,106.86/5,605.12
  6. Step 6: Final answer
    x = 4,437.21

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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.