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Finding the Fourth Proportional to 1,401.03, 2,101.55 and 823.50

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Solution

The fourth proportional to 1,401.03, 2,101.55 and 823.50 is: 1,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.03 : 2,101.55 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,401.03/2,101.55 = 823.50/x
  3. Step 3: Cross multiply
    1,401.03x = 2,101.55 × 823.50
  4. Step 4: Simplify right side
    1,401.03x = 1,730,622.31
  5. Step 5: Solve for x
    x = 1,730,622.31/1,401.03
  6. Step 6: Final answer
    x = 1,235.25

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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.