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Finding the Fourth Proportional to 2,065.48, 2,851.12 and 1,401

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Solution

The fourth proportional to 2,065.48, 2,851.12 and 1,401 is: 1,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.48 : 2,851.12 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,065.48/2,851.12 = 1,401/x
  3. Step 3: Cross multiply
    2,065.48x = 2,851.12 × 1,401
  4. Step 4: Simplify right side
    2,065.48x = 3,994,419.12
  5. Step 5: Solve for x
    x = 3,994,419.12/2,065.48
  6. Step 6: Final answer
    x = 1,933.89

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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.