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Finding the Fourth Proportional to 6,889.36, 9,507.80 and 3,905.22

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Solution

The fourth proportional to 6,889.36, 9,507.80 and 3,905.22 is: 5,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.36 : 9,507.80 = 3,905.22 : x
  2. Step 2: Convert to fraction form
    6,889.36/9,507.80 = 3,905.22/x
  3. Step 3: Cross multiply
    6,889.36x = 9,507.80 × 3,905.22
  4. Step 4: Simplify right side
    6,889.36x = 37,130,050.72
  5. Step 5: Solve for x
    x = 37,130,050.72/6,889.36
  6. Step 6: Final answer
    x = 5,389.48

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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.