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Finding the Fourth Proportional to 4,619.74, 6,371.63 and 4,089.19

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Solution

The fourth proportional to 4,619.74, 6,371.63 and 4,089.19 is: 5,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.74 : 6,371.63 = 4,089.19 : x
  2. Step 2: Convert to fraction form
    4,619.74/6,371.63 = 4,089.19/x
  3. Step 3: Cross multiply
    4,619.74x = 6,371.63 × 4,089.19
  4. Step 4: Simplify right side
    4,619.74x = 26,054,773.82
  5. Step 5: Solve for x
    x = 26,054,773.82/4,619.74
  6. Step 6: Final answer
    x = 5,639.88

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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.