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Finding the Fourth Proportional to 5,349.59, 7,384.02 and 3,112.47

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Solution

The fourth proportional to 5,349.59, 7,384.02 and 3,112.47 is: 4,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.59 : 7,384.02 = 3,112.47 : x
  2. Step 2: Convert to fraction form
    5,349.59/7,384.02 = 3,112.47/x
  3. Step 3: Cross multiply
    5,349.59x = 7,384.02 × 3,112.47
  4. Step 4: Simplify right side
    5,349.59x = 22,982,529.06
  5. Step 5: Solve for x
    x = 22,982,529.06/5,349.59
  6. Step 6: Final answer
    x = 4,296.13

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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.