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Finding the Fourth Proportional to 7,812.96, 10,782.84 and 4,669.20

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Solution

The fourth proportional to 7,812.96, 10,782.84 and 4,669.20 is: 6,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.96 : 10,782.84 = 4,669.20 : x
  2. Step 2: Convert to fraction form
    7,812.96/10,782.84 = 4,669.20/x
  3. Step 3: Cross multiply
    7,812.96x = 10,782.84 × 4,669.20
  4. Step 4: Simplify right side
    7,812.96x = 50,347,236.53
  5. Step 5: Solve for x
    x = 50,347,236.53/7,812.96
  6. Step 6: Final answer
    x = 6,444.07

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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.