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Finding the Fourth Proportional to 4,259.16, 6,347.16 and 4,119.84

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Solution

The fourth proportional to 4,259.16, 6,347.16 and 4,119.84 is: 6,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.16 : 6,347.16 = 4,119.84 : x
  2. Step 2: Convert to fraction form
    4,259.16/6,347.16 = 4,119.84/x
  3. Step 3: Cross multiply
    4,259.16x = 6,347.16 × 4,119.84
  4. Step 4: Simplify right side
    4,259.16x = 26,149,283.65
  5. Step 5: Solve for x
    x = 26,149,283.65/4,259.16
  6. Step 6: Final answer
    x = 6,139.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.