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Finding the Fourth Proportional to 2,913.24, 4,020.24 and 2,029.54

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Solution

The fourth proportional to 2,913.24, 4,020.24 and 2,029.54 is: 2,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.24 : 4,020.24 = 2,029.54 : x
  2. Step 2: Convert to fraction form
    2,913.24/4,020.24 = 2,029.54/x
  3. Step 3: Cross multiply
    2,913.24x = 4,020.24 × 2,029.54
  4. Step 4: Simplify right side
    2,913.24x = 8,159,237.89
  5. Step 5: Solve for x
    x = 8,159,237.89/2,913.24
  6. Step 6: Final answer
    x = 2,800.74

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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.