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Finding the Fourth Proportional to 5,714.88, 7,890.40 and 3,591.28

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Solution

The fourth proportional to 5,714.88, 7,890.40 and 3,591.28 is: 4,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.88 : 7,890.40 = 3,591.28 : x
  2. Step 2: Convert to fraction form
    5,714.88/7,890.40 = 3,591.28/x
  3. Step 3: Cross multiply
    5,714.88x = 7,890.40 × 3,591.28
  4. Step 4: Simplify right side
    5,714.88x = 28,336,635.71
  5. Step 5: Solve for x
    x = 28,336,635.71/5,714.88
  6. Step 6: Final answer
    x = 4,958.40

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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.