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Finding the Fourth Proportional to 5,442.66, 7,499.30 and 3,671.20

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Solution

The fourth proportional to 5,442.66, 7,499.30 and 3,671.20 is: 5,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.66 : 7,499.30 = 3,671.20 : x
  2. Step 2: Convert to fraction form
    5,442.66/7,499.30 = 3,671.20/x
  3. Step 3: Cross multiply
    5,442.66x = 7,499.30 × 3,671.20
  4. Step 4: Simplify right side
    5,442.66x = 27,531,430.16
  5. Step 5: Solve for x
    x = 27,531,430.16/5,442.66
  6. Step 6: Final answer
    x = 5,058.45

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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.