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Finding the Fourth Proportional to 6,820.65, 9,408.20 and 4,300.65

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Solution

The fourth proportional to 6,820.65, 9,408.20 and 4,300.65 is: 5,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.65 : 9,408.20 = 4,300.65 : x
  2. Step 2: Convert to fraction form
    6,820.65/9,408.20 = 4,300.65/x
  3. Step 3: Cross multiply
    6,820.65x = 9,408.20 × 4,300.65
  4. Step 4: Simplify right side
    6,820.65x = 40,461,353.83
  5. Step 5: Solve for x
    x = 40,461,353.83/6,820.65
  6. Step 6: Final answer
    x = 5,932.18

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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.