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Finding the Fourth Proportional to 5,714.88, 7,877.63 and 5,256.63

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Solution

The fourth proportional to 5,714.88, 7,877.63 and 5,256.63 is: 7,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.88 : 7,877.63 = 5,256.63 : x
  2. Step 2: Convert to fraction form
    5,714.88/7,877.63 = 5,256.63/x
  3. Step 3: Cross multiply
    5,714.88x = 7,877.63 × 5,256.63
  4. Step 4: Simplify right side
    5,714.88x = 41,409,759.90
  5. Step 5: Solve for x
    x = 41,409,759.90/5,714.88
  6. Step 6: Final answer
    x = 7,245.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.