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Finding the Fourth Proportional to 21,033.84, 31,547.42 and 6,992.70

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Solution

The fourth proportional to 21,033.84, 31,547.42 and 6,992.70 is: 10,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.84 : 31,547.42 = 6,992.70 : x
  2. Step 2: Convert to fraction form
    21,033.84/31,547.42 = 6,992.70/x
  3. Step 3: Cross multiply
    21,033.84x = 31,547.42 × 6,992.70
  4. Step 4: Simplify right side
    21,033.84x = 220,601,608.87
  5. Step 5: Solve for x
    x = 220,601,608.87/21,033.84
  6. Step 6: Final answer
    x = 10,487.94

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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.