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Finding the Fourth Proportional to 4,210.79, 6,311.06 and 2,978.55

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Solution

The fourth proportional to 4,210.79, 6,311.06 and 2,978.55 is: 4,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.79 : 6,311.06 = 2,978.55 : x
  2. Step 2: Convert to fraction form
    4,210.79/6,311.06 = 2,978.55/x
  3. Step 3: Cross multiply
    4,210.79x = 6,311.06 × 2,978.55
  4. Step 4: Simplify right side
    4,210.79x = 18,797,792.87
  5. Step 5: Solve for x
    x = 18,797,792.87/4,210.79
  6. Step 6: Final answer
    x = 4,464.20

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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.