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Finding the Fourth Proportional to 7,141.44, 10,710.84 and 5,762.88

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Solution

The fourth proportional to 7,141.44, 10,710.84 and 5,762.88 is: 8,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.44 : 10,710.84 = 5,762.88 : x
  2. Step 2: Convert to fraction form
    7,141.44/10,710.84 = 5,762.88/x
  3. Step 3: Cross multiply
    7,141.44x = 10,710.84 × 5,762.88
  4. Step 4: Simplify right side
    7,141.44x = 61,725,285.62
  5. Step 5: Solve for x
    x = 61,725,285.62/7,141.44
  6. Step 6: Final answer
    x = 8,643.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.