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Finding the Fourth Proportional to 3,469.99, 4,788.54 and 1,898.06

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Solution

The fourth proportional to 3,469.99, 4,788.54 and 1,898.06 is: 2,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.99 : 4,788.54 = 1,898.06 : x
  2. Step 2: Convert to fraction form
    3,469.99/4,788.54 = 1,898.06/x
  3. Step 3: Cross multiply
    3,469.99x = 4,788.54 × 1,898.06
  4. Step 4: Simplify right side
    3,469.99x = 9,088,955.32
  5. Step 5: Solve for x
    x = 9,088,955.32/3,469.99
  6. Step 6: Final answer
    x = 2,619.30

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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.