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Finding the Fourth Proportional to 7,177.60, 10,709.69 and 6,205.60

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Solution

The fourth proportional to 7,177.60, 10,709.69 and 6,205.60 is: 9,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.60 : 10,709.69 = 6,205.60 : x
  2. Step 2: Convert to fraction form
    7,177.60/10,709.69 = 6,205.60/x
  3. Step 3: Cross multiply
    7,177.60x = 10,709.69 × 6,205.60
  4. Step 4: Simplify right side
    7,177.60x = 66,460,052.26
  5. Step 5: Solve for x
    x = 66,460,052.26/7,177.60
  6. Step 6: Final answer
    x = 9,259.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.