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Finding the Fourth Proportional to 7,714.85, 11,569.88 and 2,783.85

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Solution

The fourth proportional to 7,714.85, 11,569.88 and 2,783.85 is: 4,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.85 : 11,569.88 = 2,783.85 : x
  2. Step 2: Convert to fraction form
    7,714.85/11,569.88 = 2,783.85/x
  3. Step 3: Cross multiply
    7,714.85x = 11,569.88 × 2,783.85
  4. Step 4: Simplify right side
    7,714.85x = 32,208,752.59
  5. Step 5: Solve for x
    x = 32,208,752.59/7,714.85
  6. Step 6: Final answer
    x = 4,174.90

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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.