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Finding the Fourth Proportional to 3,562.32, 4,911.06 and 3,070.20

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Solution

The fourth proportional to 3,562.32, 4,911.06 and 3,070.20 is: 4,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.32 : 4,911.06 = 3,070.20 : x
  2. Step 2: Convert to fraction form
    3,562.32/4,911.06 = 3,070.20/x
  3. Step 3: Cross multiply
    3,562.32x = 4,911.06 × 3,070.20
  4. Step 4: Simplify right side
    3,562.32x = 15,077,936.41
  5. Step 5: Solve for x
    x = 15,077,936.41/3,562.32
  6. Step 6: Final answer
    x = 4,232.62

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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.