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Finding the Fourth Proportional to 4,197, 6,319.98 and 3,109.08

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Solution

The fourth proportional to 4,197, 6,319.98 and 3,109.08 is: 4,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 6,319.98 = 3,109.08 : x
  2. Step 2: Convert to fraction form
    4,197/6,319.98 = 3,109.08/x
  3. Step 3: Cross multiply
    4,197x = 6,319.98 × 3,109.08
  4. Step 4: Simplify right side
    4,197x = 19,649,323.42
  5. Step 5: Solve for x
    x = 19,649,323.42/4,197
  6. Step 6: Final answer
    x = 4,681.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.