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Finding the Fourth Proportional to 5,307.91, 7,325.35 and 3,423.42

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Solution

The fourth proportional to 5,307.91, 7,325.35 and 3,423.42 is: 4,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.91 : 7,325.35 = 3,423.42 : x
  2. Step 2: Convert to fraction form
    5,307.91/7,325.35 = 3,423.42/x
  3. Step 3: Cross multiply
    5,307.91x = 7,325.35 × 3,423.42
  4. Step 4: Simplify right side
    5,307.91x = 25,077,713.07
  5. Step 5: Solve for x
    x = 25,077,713.07/5,307.91
  6. Step 6: Final answer
    x = 4,724.59

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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.