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Finding the Fourth Proportional to 4,218.01, 6,320.53 and 1,619.53

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Solution

The fourth proportional to 4,218.01, 6,320.53 and 1,619.53 is: 2,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.01 : 6,320.53 = 1,619.53 : x
  2. Step 2: Convert to fraction form
    4,218.01/6,320.53 = 1,619.53/x
  3. Step 3: Cross multiply
    4,218.01x = 6,320.53 × 1,619.53
  4. Step 4: Simplify right side
    4,218.01x = 10,236,274.17
  5. Step 5: Solve for x
    x = 10,236,274.17/4,218.01
  6. Step 6: Final answer
    x = 2,426.80

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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.