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Finding the Fourth Proportional to 5,135.88, 7,710.20 and 3,585.74

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Solution

The fourth proportional to 5,135.88, 7,710.20 and 3,585.74 is: 5,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.88 : 7,710.20 = 3,585.74 : x
  2. Step 2: Convert to fraction form
    5,135.88/7,710.20 = 3,585.74/x
  3. Step 3: Cross multiply
    5,135.88x = 7,710.20 × 3,585.74
  4. Step 4: Simplify right side
    5,135.88x = 27,646,772.55
  5. Step 5: Solve for x
    x = 27,646,772.55/5,135.88
  6. Step 6: Final answer
    x = 5,383.06

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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.