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Finding the Fourth Proportional to 2,477.20, 3,714.90 and 833.80

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Solution

The fourth proportional to 2,477.20, 3,714.90 and 833.80 is: 1,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.20 : 3,714.90 = 833.80 : x
  2. Step 2: Convert to fraction form
    2,477.20/3,714.90 = 833.80/x
  3. Step 3: Cross multiply
    2,477.20x = 3,714.90 × 833.80
  4. Step 4: Simplify right side
    2,477.20x = 3,097,483.62
  5. Step 5: Solve for x
    x = 3,097,483.62/2,477.20
  6. Step 6: Final answer
    x = 1,250.40

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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.