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Finding the Fourth Proportional to 4,817.92, 7,192.16 and 4,457.20

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Solution

The fourth proportional to 4,817.92, 7,192.16 and 4,457.20 is: 6,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.92 : 7,192.16 = 4,457.20 : x
  2. Step 2: Convert to fraction form
    4,817.92/7,192.16 = 4,457.20/x
  3. Step 3: Cross multiply
    4,817.92x = 7,192.16 × 4,457.20
  4. Step 4: Simplify right side
    4,817.92x = 32,056,895.55
  5. Step 5: Solve for x
    x = 32,056,895.55/4,817.92
  6. Step 6: Final answer
    x = 6,653.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.