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Finding the Fourth Proportional to 5,159.34, 7,738.10 and 2,385.78

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Solution

The fourth proportional to 5,159.34, 7,738.10 and 2,385.78 is: 3,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.34 : 7,738.10 = 2,385.78 : x
  2. Step 2: Convert to fraction form
    5,159.34/7,738.10 = 2,385.78/x
  3. Step 3: Cross multiply
    5,159.34x = 7,738.10 × 2,385.78
  4. Step 4: Simplify right side
    5,159.34x = 18,461,404.22
  5. Step 5: Solve for x
    x = 18,461,404.22/5,159.34
  6. Step 6: Final answer
    x = 3,578.25

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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.