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Finding the Fourth Proportional to 5,292.96, 7,940.16 and 2,006.40

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Solution

The fourth proportional to 5,292.96, 7,940.16 and 2,006.40 is: 3,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.96 : 7,940.16 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    5,292.96/7,940.16 = 2,006.40/x
  3. Step 3: Cross multiply
    5,292.96x = 7,940.16 × 2,006.40
  4. Step 4: Simplify right side
    5,292.96x = 15,931,137.02
  5. Step 5: Solve for x
    x = 15,931,137.02/5,292.96
  6. Step 6: Final answer
    x = 3,009.87

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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.