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Finding the Fourth Proportional to 6,897, 10,347.54 and 3,977.40

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Solution

The fourth proportional to 6,897, 10,347.54 and 3,977.40 is: 5,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897 : 10,347.54 = 3,977.40 : x
  2. Step 2: Convert to fraction form
    6,897/10,347.54 = 3,977.40/x
  3. Step 3: Cross multiply
    6,897x = 10,347.54 × 3,977.40
  4. Step 4: Simplify right side
    6,897x = 41,156,305.60
  5. Step 5: Solve for x
    x = 41,156,305.60/6,897
  6. Step 6: Final answer
    x = 5,967.28

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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.