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Finding the Fourth Proportional to 7,641.48, 10,539.78 and 7,014

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Solution

The fourth proportional to 7,641.48, 10,539.78 and 7,014 is: 9,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.48 : 10,539.78 = 7,014 : x
  2. Step 2: Convert to fraction form
    7,641.48/10,539.78 = 7,014/x
  3. Step 3: Cross multiply
    7,641.48x = 10,539.78 × 7,014
  4. Step 4: Simplify right side
    7,641.48x = 73,926,016.92
  5. Step 5: Solve for x
    x = 73,926,016.92/7,641.48
  6. Step 6: Final answer
    x = 9,674.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.