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Finding the Fourth Proportional to 3,484.92, 4,809.27 and 1,913.01

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Solution

The fourth proportional to 3,484.92, 4,809.27 and 1,913.01 is: 2,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.92 : 4,809.27 = 1,913.01 : x
  2. Step 2: Convert to fraction form
    3,484.92/4,809.27 = 1,913.01/x
  3. Step 3: Cross multiply
    3,484.92x = 4,809.27 × 1,913.01
  4. Step 4: Simplify right side
    3,484.92x = 9,200,181.60
  5. Step 5: Solve for x
    x = 9,200,181.60/3,484.92
  6. Step 6: Final answer
    x = 2,640.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.