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Finding the Fourth Proportional to 5,753.22, 8,628 and 1,856.72

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Solution

The fourth proportional to 5,753.22, 8,628 and 1,856.72 is: 2,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.22 : 8,628 = 1,856.72 : x
  2. Step 2: Convert to fraction form
    5,753.22/8,628 = 1,856.72/x
  3. Step 3: Cross multiply
    5,753.22x = 8,628 × 1,856.72
  4. Step 4: Simplify right side
    5,753.22x = 16,019,780.16
  5. Step 5: Solve for x
    x = 16,019,780.16/5,753.22
  6. Step 6: Final answer
    x = 2,784.49

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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.