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Finding the Fourth Proportional to 7,054.81, 9,735.42 and 3,989.07

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Solution

The fourth proportional to 7,054.81, 9,735.42 and 3,989.07 is: 5,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.81 : 9,735.42 = 3,989.07 : x
  2. Step 2: Convert to fraction form
    7,054.81/9,735.42 = 3,989.07/x
  3. Step 3: Cross multiply
    7,054.81x = 9,735.42 × 3,989.07
  4. Step 4: Simplify right side
    7,054.81x = 38,835,271.86
  5. Step 5: Solve for x
    x = 38,835,271.86/7,054.81
  6. Step 6: Final answer
    x = 5,504.79

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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.