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Finding the Fourth Proportional to 5,154, 7,105.88 and 4,208.79

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Solution

The fourth proportional to 5,154, 7,105.88 and 4,208.79 is: 5,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154 : 7,105.88 = 4,208.79 : x
  2. Step 2: Convert to fraction form
    5,154/7,105.88 = 4,208.79/x
  3. Step 3: Cross multiply
    5,154x = 7,105.88 × 4,208.79
  4. Step 4: Simplify right side
    5,154x = 29,907,135.64
  5. Step 5: Solve for x
    x = 29,907,135.64/5,154
  6. Step 6: Final answer
    x = 5,802.70

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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.