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Finding the Fourth Proportional to 5,819.42, 8,728.98 and 1,870.95

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Solution

The fourth proportional to 5,819.42, 8,728.98 and 1,870.95 is: 2,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.42 : 8,728.98 = 1,870.95 : x
  2. Step 2: Convert to fraction form
    5,819.42/8,728.98 = 1,870.95/x
  3. Step 3: Cross multiply
    5,819.42x = 8,728.98 × 1,870.95
  4. Step 4: Simplify right side
    5,819.42x = 16,331,485.13
  5. Step 5: Solve for x
    x = 16,331,485.13/5,819.42
  6. Step 6: Final answer
    x = 2,806.38

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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.