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Finding the Fourth Proportional to 2,638.47, 3,641.10 and 1,459.58

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Solution

The fourth proportional to 2,638.47, 3,641.10 and 1,459.58 is: 2,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.47 : 3,641.10 = 1,459.58 : x
  2. Step 2: Convert to fraction form
    2,638.47/3,641.10 = 1,459.58/x
  3. Step 3: Cross multiply
    2,638.47x = 3,641.10 × 1,459.58
  4. Step 4: Simplify right side
    2,638.47x = 5,314,476.74
  5. Step 5: Solve for x
    x = 5,314,476.74/2,638.47
  6. Step 6: Final answer
    x = 2,014.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.