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Finding the Fourth Proportional to 5,286.69, 7,295.07 and 2,928.60

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Solution

The fourth proportional to 5,286.69, 7,295.07 and 2,928.60 is: 4,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.69 : 7,295.07 = 2,928.60 : x
  2. Step 2: Convert to fraction form
    5,286.69/7,295.07 = 2,928.60/x
  3. Step 3: Cross multiply
    5,286.69x = 7,295.07 × 2,928.60
  4. Step 4: Simplify right side
    5,286.69x = 21,364,342.00
  5. Step 5: Solve for x
    x = 21,364,342.00/5,286.69
  6. Step 6: Final answer
    x = 4,041.16

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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.