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Finding the Fourth Proportional to 6,977.85, 9,622.53 and 6,370.98

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Solution

The fourth proportional to 6,977.85, 9,622.53 and 6,370.98 is: 8,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.85 : 9,622.53 = 6,370.98 : x
  2. Step 2: Convert to fraction form
    6,977.85/9,622.53 = 6,370.98/x
  3. Step 3: Cross multiply
    6,977.85x = 9,622.53 × 6,370.98
  4. Step 4: Simplify right side
    6,977.85x = 61,304,946.18
  5. Step 5: Solve for x
    x = 61,304,946.18/6,977.85
  6. Step 6: Final answer
    x = 8,785.65

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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.