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Finding the Fourth Proportional to 6,897.56, 10,347.96 and 1,967.09

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Solution

The fourth proportional to 6,897.56, 10,347.96 and 1,967.09 is: 2,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.56 : 10,347.96 = 1,967.09 : x
  2. Step 2: Convert to fraction form
    6,897.56/10,347.96 = 1,967.09/x
  3. Step 3: Cross multiply
    6,897.56x = 10,347.96 × 1,967.09
  4. Step 4: Simplify right side
    6,897.56x = 20,355,368.64
  5. Step 5: Solve for x
    x = 20,355,368.64/6,897.56
  6. Step 6: Final answer
    x = 2,951.10

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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.