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Finding the Fourth Proportional to 6,889.34, 9,507.40 and 3,905.11

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Solution

The fourth proportional to 6,889.34, 9,507.40 and 3,905.11 is: 5,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.34 : 9,507.40 = 3,905.11 : x
  2. Step 2: Convert to fraction form
    6,889.34/9,507.40 = 3,905.11/x
  3. Step 3: Cross multiply
    6,889.34x = 9,507.40 × 3,905.11
  4. Step 4: Simplify right side
    6,889.34x = 37,127,442.81
  5. Step 5: Solve for x
    x = 37,127,442.81/6,889.34
  6. Step 6: Final answer
    x = 5,389.11

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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.