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Finding the Fourth Proportional to 5,312.22, 7,331.10 and 3,074.20

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Solution

The fourth proportional to 5,312.22, 7,331.10 and 3,074.20 is: 4,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.22 : 7,331.10 = 3,074.20 : x
  2. Step 2: Convert to fraction form
    5,312.22/7,331.10 = 3,074.20/x
  3. Step 3: Cross multiply
    5,312.22x = 7,331.10 × 3,074.20
  4. Step 4: Simplify right side
    5,312.22x = 22,537,267.62
  5. Step 5: Solve for x
    x = 22,537,267.62/5,312.22
  6. Step 6: Final answer
    x = 4,242.53

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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.