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Finding the Fourth Proportional to 4,659.94, 6,429.03 and 2,643.10

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Solution

The fourth proportional to 4,659.94, 6,429.03 and 2,643.10 is: 3,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.94 : 6,429.03 = 2,643.10 : x
  2. Step 2: Convert to fraction form
    4,659.94/6,429.03 = 2,643.10/x
  3. Step 3: Cross multiply
    4,659.94x = 6,429.03 × 2,643.10
  4. Step 4: Simplify right side
    4,659.94x = 16,992,569.19
  5. Step 5: Solve for x
    x = 16,992,569.19/4,659.94
  6. Step 6: Final answer
    x = 3,646.52

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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.