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Finding the Fourth Proportional to 4,612.86, 6,919.68 and 1,840.20

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Solution

The fourth proportional to 4,612.86, 6,919.68 and 1,840.20 is: 2,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.86 : 6,919.68 = 1,840.20 : x
  2. Step 2: Convert to fraction form
    4,612.86/6,919.68 = 1,840.20/x
  3. Step 3: Cross multiply
    4,612.86x = 6,919.68 × 1,840.20
  4. Step 4: Simplify right side
    4,612.86x = 12,733,595.14
  5. Step 5: Solve for x
    x = 12,733,595.14/4,612.86
  6. Step 6: Final answer
    x = 2,760.46

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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.