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Finding the Fourth Proportional to 6,922.62, 10,334.07 and 6,430.55

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Solution

The fourth proportional to 6,922.62, 10,334.07 and 6,430.55 is: 9,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.62 : 10,334.07 = 6,430.55 : x
  2. Step 2: Convert to fraction form
    6,922.62/10,334.07 = 6,430.55/x
  3. Step 3: Cross multiply
    6,922.62x = 10,334.07 × 6,430.55
  4. Step 4: Simplify right side
    6,922.62x = 66,453,702.17
  5. Step 5: Solve for x
    x = 66,453,702.17/6,922.62
  6. Step 6: Final answer
    x = 9,599.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.