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Finding the Fourth Proportional to 2,479.76, 3,719.64 and 836.30

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Solution

The fourth proportional to 2,479.76, 3,719.64 and 836.30 is: 1,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.76 : 3,719.64 = 836.30 : x
  2. Step 2: Convert to fraction form
    2,479.76/3,719.64 = 836.30/x
  3. Step 3: Cross multiply
    2,479.76x = 3,719.64 × 836.30
  4. Step 4: Simplify right side
    2,479.76x = 3,110,734.93
  5. Step 5: Solve for x
    x = 3,110,734.93/2,479.76
  6. Step 6: Final answer
    x = 1,254.45

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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.