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Finding the Fourth Proportional to 9,119.52, 12,584.80 and 5,140.80

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Solution

The fourth proportional to 9,119.52, 12,584.80 and 5,140.80 is: 7,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.52 : 12,584.80 = 5,140.80 : x
  2. Step 2: Convert to fraction form
    9,119.52/12,584.80 = 5,140.80/x
  3. Step 3: Cross multiply
    9,119.52x = 12,584.80 × 5,140.80
  4. Step 4: Simplify right side
    9,119.52x = 64,695,939.84
  5. Step 5: Solve for x
    x = 64,695,939.84/9,119.52
  6. Step 6: Final answer
    x = 7,094.23

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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.