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Finding the Fourth Proportional to 4,210.61, 6,315.92 and 4,109.12

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Solution

The fourth proportional to 4,210.61, 6,315.92 and 4,109.12 is: 6,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.61 : 6,315.92 = 4,109.12 : x
  2. Step 2: Convert to fraction form
    4,210.61/6,315.92 = 4,109.12/x
  3. Step 3: Cross multiply
    4,210.61x = 6,315.92 × 4,109.12
  4. Step 4: Simplify right side
    4,210.61x = 25,952,851.88
  5. Step 5: Solve for x
    x = 25,952,851.88/4,210.61
  6. Step 6: Final answer
    x = 6,163.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.