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Finding the Fourth Proportional to 3,959.96, 5,940.08 and 1,038.16

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Solution

The fourth proportional to 3,959.96, 5,940.08 and 1,038.16 is: 1,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.96 : 5,940.08 = 1,038.16 : x
  2. Step 2: Convert to fraction form
    3,959.96/5,940.08 = 1,038.16/x
  3. Step 3: Cross multiply
    3,959.96x = 5,940.08 × 1,038.16
  4. Step 4: Simplify right side
    3,959.96x = 6,166,753.45
  5. Step 5: Solve for x
    x = 6,166,753.45/3,959.96
  6. Step 6: Final answer
    x = 1,557.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.