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Finding the Fourth Proportional to 5,188.58, 7,160.19 and 2,830.58

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Solution

The fourth proportional to 5,188.58, 7,160.19 and 2,830.58 is: 3,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.58 : 7,160.19 = 2,830.58 : x
  2. Step 2: Convert to fraction form
    5,188.58/7,160.19 = 2,830.58/x
  3. Step 3: Cross multiply
    5,188.58x = 7,160.19 × 2,830.58
  4. Step 4: Simplify right side
    5,188.58x = 20,267,490.61
  5. Step 5: Solve for x
    x = 20,267,490.61/5,188.58
  6. Step 6: Final answer
    x = 3,906.17

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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.