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Finding the Fourth Proportional to 7,036.78, 9,710.70 and 3,893.14

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Solution

The fourth proportional to 7,036.78, 9,710.70 and 3,893.14 is: 5,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.78 : 9,710.70 = 3,893.14 : x
  2. Step 2: Convert to fraction form
    7,036.78/9,710.70 = 3,893.14/x
  3. Step 3: Cross multiply
    7,036.78x = 9,710.70 × 3,893.14
  4. Step 4: Simplify right side
    7,036.78x = 37,805,114.60
  5. Step 5: Solve for x
    x = 37,805,114.60/7,036.78
  6. Step 6: Final answer
    x = 5,372.50

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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.