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Finding the Fourth Proportional to 3,637.84, 5,456 and 1,040.08

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Solution

The fourth proportional to 3,637.84, 5,456 and 1,040.08 is: 1,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.84 : 5,456 = 1,040.08 : x
  2. Step 2: Convert to fraction form
    3,637.84/5,456 = 1,040.08/x
  3. Step 3: Cross multiply
    3,637.84x = 5,456 × 1,040.08
  4. Step 4: Simplify right side
    3,637.84x = 5,674,676.48
  5. Step 5: Solve for x
    x = 5,674,676.48/3,637.84
  6. Step 6: Final answer
    x = 1,559.90

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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.