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Finding the Fourth Proportional to 5,639.44, 7,784.58 and 5,048.92

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Solution

The fourth proportional to 5,639.44, 7,784.58 and 5,048.92 is: 6,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.44 : 7,784.58 = 5,048.92 : x
  2. Step 2: Convert to fraction form
    5,639.44/7,784.58 = 5,048.92/x
  3. Step 3: Cross multiply
    5,639.44x = 7,784.58 × 5,048.92
  4. Step 4: Simplify right side
    5,639.44x = 39,303,721.65
  5. Step 5: Solve for x
    x = 39,303,721.65/5,639.44
  6. Step 6: Final answer
    x = 6,969.44

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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.