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Finding the Fourth Proportional to 6,218.51, 8,582.15 and 4,643.87

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Solution

The fourth proportional to 6,218.51, 8,582.15 and 4,643.87 is: 6,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.51 : 8,582.15 = 4,643.87 : x
  2. Step 2: Convert to fraction form
    6,218.51/8,582.15 = 4,643.87/x
  3. Step 3: Cross multiply
    6,218.51x = 8,582.15 × 4,643.87
  4. Step 4: Simplify right side
    6,218.51x = 39,854,366.58
  5. Step 5: Solve for x
    x = 39,854,366.58/6,218.51
  6. Step 6: Final answer
    x = 6,408.99

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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.