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Finding the Fourth Proportional to 6,784.40, 10,178.40 and 6,133.74

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Solution

The fourth proportional to 6,784.40, 10,178.40 and 6,133.74 is: 9,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.40 : 10,178.40 = 6,133.74 : x
  2. Step 2: Convert to fraction form
    6,784.40/10,178.40 = 6,133.74/x
  3. Step 3: Cross multiply
    6,784.40x = 10,178.40 × 6,133.74
  4. Step 4: Simplify right side
    6,784.40x = 62,431,659.22
  5. Step 5: Solve for x
    x = 62,431,659.22/6,784.40
  6. Step 6: Final answer
    x = 9,202.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.