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Finding the Fourth Proportional to 3,638.77, 5,457.93 and 1,788.02

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Solution

The fourth proportional to 3,638.77, 5,457.93 and 1,788.02 is: 2,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.77 : 5,457.93 = 1,788.02 : x
  2. Step 2: Convert to fraction form
    3,638.77/5,457.93 = 1,788.02/x
  3. Step 3: Cross multiply
    3,638.77x = 5,457.93 × 1,788.02
  4. Step 4: Simplify right side
    3,638.77x = 9,758,915.23
  5. Step 5: Solve for x
    x = 9,758,915.23/3,638.77
  6. Step 6: Final answer
    x = 2,681.92

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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.