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Finding the Fourth Proportional to 3,814, 5,720.40 and 1,040.89

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Solution

The fourth proportional to 3,814, 5,720.40 and 1,040.89 is: 1,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814 : 5,720.40 = 1,040.89 : x
  2. Step 2: Convert to fraction form
    3,814/5,720.40 = 1,040.89/x
  3. Step 3: Cross multiply
    3,814x = 5,720.40 × 1,040.89
  4. Step 4: Simplify right side
    3,814x = 5,954,307.16
  5. Step 5: Solve for x
    x = 5,954,307.16/3,814
  6. Step 6: Final answer
    x = 1,561.17

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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.