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Finding the Fourth Proportional to 2,636.72, 3,638.64 and 1,457.77

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Solution

The fourth proportional to 2,636.72, 3,638.64 and 1,457.77 is: 2,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.72 : 3,638.64 = 1,457.77 : x
  2. Step 2: Convert to fraction form
    2,636.72/3,638.64 = 1,457.77/x
  3. Step 3: Cross multiply
    2,636.72x = 3,638.64 × 1,457.77
  4. Step 4: Simplify right side
    2,636.72x = 5,304,291.14
  5. Step 5: Solve for x
    x = 5,304,291.14/2,636.72
  6. Step 6: Final answer
    x = 2,011.70

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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.