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Finding the Fourth Proportional to 6,473.40, 9,702.90 and 3,553.80

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Solution

The fourth proportional to 6,473.40, 9,702.90 and 3,553.80 is: 5,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.40 : 9,702.90 = 3,553.80 : x
  2. Step 2: Convert to fraction form
    6,473.40/9,702.90 = 3,553.80/x
  3. Step 3: Cross multiply
    6,473.40x = 9,702.90 × 3,553.80
  4. Step 4: Simplify right side
    6,473.40x = 34,482,166.02
  5. Step 5: Solve for x
    x = 34,482,166.02/6,473.40
  6. Step 6: Final answer
    x = 5,326.75

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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.