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Finding the Fourth Proportional to 6,162.12, 8,502.84 and 3,509.10

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Solution

The fourth proportional to 6,162.12, 8,502.84 and 3,509.10 is: 4,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.12 : 8,502.84 = 3,509.10 : x
  2. Step 2: Convert to fraction form
    6,162.12/8,502.84 = 3,509.10/x
  3. Step 3: Cross multiply
    6,162.12x = 8,502.84 × 3,509.10
  4. Step 4: Simplify right side
    6,162.12x = 29,837,315.84
  5. Step 5: Solve for x
    x = 29,837,315.84/6,162.12
  6. Step 6: Final answer
    x = 4,842.05

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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.