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Finding the Fourth Proportional to 7,807.06, 11,710.60 and 3,190.06

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Solution

The fourth proportional to 7,807.06, 11,710.60 and 3,190.06 is: 4,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.06 : 11,710.60 = 3,190.06 : x
  2. Step 2: Convert to fraction form
    7,807.06/11,710.60 = 3,190.06/x
  3. Step 3: Cross multiply
    7,807.06x = 11,710.60 × 3,190.06
  4. Step 4: Simplify right side
    7,807.06x = 37,357,516.64
  5. Step 5: Solve for x
    x = 37,357,516.64/7,807.06
  6. Step 6: Final answer
    x = 4,785.09

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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.