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Finding the Fourth Proportional to 7,808.42, 11,702.28 and 3,648.08

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Solution

The fourth proportional to 7,808.42, 11,702.28 and 3,648.08 is: 5,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.42 : 11,702.28 = 3,648.08 : x
  2. Step 2: Convert to fraction form
    7,808.42/11,702.28 = 3,648.08/x
  3. Step 3: Cross multiply
    7,808.42x = 11,702.28 × 3,648.08
  4. Step 4: Simplify right side
    7,808.42x = 42,690,853.62
  5. Step 5: Solve for x
    x = 42,690,853.62/7,808.42
  6. Step 6: Final answer
    x = 5,467.28

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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.