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Finding the Fourth Proportional to 7,718.84, 11,562.36 and 5,746.49

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Solution

The fourth proportional to 7,718.84, 11,562.36 and 5,746.49 is: 8,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.84 : 11,562.36 = 5,746.49 : x
  2. Step 2: Convert to fraction form
    7,718.84/11,562.36 = 5,746.49/x
  3. Step 3: Cross multiply
    7,718.84x = 11,562.36 × 5,746.49
  4. Step 4: Simplify right side
    7,718.84x = 66,442,986.12
  5. Step 5: Solve for x
    x = 66,442,986.12/7,718.84
  6. Step 6: Final answer
    x = 8,607.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.