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Finding the Fourth Proportional to 5,145.60, 7,719.60 and 1,859.04

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Solution

The fourth proportional to 5,145.60, 7,719.60 and 1,859.04 is: 2,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.60 : 7,719.60 = 1,859.04 : x
  2. Step 2: Convert to fraction form
    5,145.60/7,719.60 = 1,859.04/x
  3. Step 3: Cross multiply
    5,145.60x = 7,719.60 × 1,859.04
  4. Step 4: Simplify right side
    5,145.60x = 14,351,045.18
  5. Step 5: Solve for x
    x = 14,351,045.18/5,145.60
  6. Step 6: Final answer
    x = 2,788.99

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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.