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Finding the Fourth Proportional to 4,909.70, 7,349.70 and 3,809.18

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Solution

The fourth proportional to 4,909.70, 7,349.70 and 3,809.18 is: 5,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.70 : 7,349.70 = 3,809.18 : x
  2. Step 2: Convert to fraction form
    4,909.70/7,349.70 = 3,809.18/x
  3. Step 3: Cross multiply
    4,909.70x = 7,349.70 × 3,809.18
  4. Step 4: Simplify right side
    4,909.70x = 27,996,330.25
  5. Step 5: Solve for x
    x = 27,996,330.25/4,909.70
  6. Step 6: Final answer
    x = 5,702.25

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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.