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Finding the Fourth Proportional to 5,679.64, 8,518.06 and 1,784.04

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Solution

The fourth proportional to 5,679.64, 8,518.06 and 1,784.04 is: 2,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.64 : 8,518.06 = 1,784.04 : x
  2. Step 2: Convert to fraction form
    5,679.64/8,518.06 = 1,784.04/x
  3. Step 3: Cross multiply
    5,679.64x = 8,518.06 × 1,784.04
  4. Step 4: Simplify right side
    5,679.64x = 15,196,559.76
  5. Step 5: Solve for x
    x = 15,196,559.76/5,679.64
  6. Step 6: Final answer
    x = 2,675.62

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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.