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Finding the Fourth Proportional to 8,300.74, 11,454.32 and 4,763.20

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Solution

The fourth proportional to 8,300.74, 11,454.32 and 4,763.20 is: 6,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.74 : 11,454.32 = 4,763.20 : x
  2. Step 2: Convert to fraction form
    8,300.74/11,454.32 = 4,763.20/x
  3. Step 3: Cross multiply
    8,300.74x = 11,454.32 × 4,763.20
  4. Step 4: Simplify right side
    8,300.74x = 54,559,217.02
  5. Step 5: Solve for x
    x = 54,559,217.02/8,300.74
  6. Step 6: Final answer
    x = 6,572.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.