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Finding the Fourth Proportional to 3,312.50, 4,571.25 and 2,070.50

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Solution

The fourth proportional to 3,312.50, 4,571.25 and 2,070.50 is: 2,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.50 : 4,571.25 = 2,070.50 : x
  2. Step 2: Convert to fraction form
    3,312.50/4,571.25 = 2,070.50/x
  3. Step 3: Cross multiply
    3,312.50x = 4,571.25 × 2,070.50
  4. Step 4: Simplify right side
    3,312.50x = 9,464,773.13
  5. Step 5: Solve for x
    x = 9,464,773.13/3,312.50
  6. Step 6: Final answer
    x = 2,857.29

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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.