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Finding the Fourth Proportional to 7,642.92, 10,547.62 and 4,286.44

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Solution

The fourth proportional to 7,642.92, 10,547.62 and 4,286.44 is: 5,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.92 : 10,547.62 = 4,286.44 : x
  2. Step 2: Convert to fraction form
    7,642.92/10,547.62 = 4,286.44/x
  3. Step 3: Cross multiply
    7,642.92x = 10,547.62 × 4,286.44
  4. Step 4: Simplify right side
    7,642.92x = 45,211,740.27
  5. Step 5: Solve for x
    x = 45,211,740.27/7,642.92
  6. Step 6: Final answer
    x = 5,915.51

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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.