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Finding the Fourth Proportional to 6,977.49, 9,622.08 and 6,401.25

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Solution

The fourth proportional to 6,977.49, 9,622.08 and 6,401.25 is: 8,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.49 : 9,622.08 = 6,401.25 : x
  2. Step 2: Convert to fraction form
    6,977.49/9,622.08 = 6,401.25/x
  3. Step 3: Cross multiply
    6,977.49x = 9,622.08 × 6,401.25
  4. Step 4: Simplify right side
    6,977.49x = 61,593,339.60
  5. Step 5: Solve for x
    x = 61,593,339.60/6,977.49
  6. Step 6: Final answer
    x = 8,827.44

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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.