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Finding the Fourth Proportional to 9,968.87, 13,762.04 and 7,725.71

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Solution

The fourth proportional to 9,968.87, 13,762.04 and 7,725.71 is: 10,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.87 : 13,762.04 = 7,725.71 : x
  2. Step 2: Convert to fraction form
    9,968.87/13,762.04 = 7,725.71/x
  3. Step 3: Cross multiply
    9,968.87x = 13,762.04 × 7,725.71
  4. Step 4: Simplify right side
    9,968.87x = 106,321,525.82
  5. Step 5: Solve for x
    x = 106,321,525.82/9,968.87
  6. Step 6: Final answer
    x = 10,665.35

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1.5x scale

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.