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Finding the Fourth Proportional to 5,897.55, 8,138.75 and 3,245.10

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Solution

The fourth proportional to 5,897.55, 8,138.75 and 3,245.10 is: 4,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.55 : 8,138.75 = 3,245.10 : x
  2. Step 2: Convert to fraction form
    5,897.55/8,138.75 = 3,245.10/x
  3. Step 3: Cross multiply
    5,897.55x = 8,138.75 × 3,245.10
  4. Step 4: Simplify right side
    5,897.55x = 26,411,057.63
  5. Step 5: Solve for x
    x = 26,411,057.63/5,897.55
  6. Step 6: Final answer
    x = 4,478.31

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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.