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Finding the Fourth Proportional to 5,215.88, 7,825.03 and 1,518.50

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Solution

The fourth proportional to 5,215.88, 7,825.03 and 1,518.50 is: 2,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.88 : 7,825.03 = 1,518.50 : x
  2. Step 2: Convert to fraction form
    5,215.88/7,825.03 = 1,518.50/x
  3. Step 3: Cross multiply
    5,215.88x = 7,825.03 × 1,518.50
  4. Step 4: Simplify right side
    5,215.88x = 11,882,284.08
  5. Step 5: Solve for x
    x = 11,882,284.08/5,215.88
  6. Step 6: Final answer
    x = 2,278.10

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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.