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Finding the Fourth Proportional to 2,465.79, 3,697.21 and 821.89

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Solution

The fourth proportional to 2,465.79, 3,697.21 and 821.89 is: 1,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.79 : 3,697.21 = 821.89 : x
  2. Step 2: Convert to fraction form
    2,465.79/3,697.21 = 821.89/x
  3. Step 3: Cross multiply
    2,465.79x = 3,697.21 × 821.89
  4. Step 4: Simplify right side
    2,465.79x = 3,038,699.93
  5. Step 5: Solve for x
    x = 3,038,699.93/2,465.79
  6. Step 6: Final answer
    x = 1,232.34

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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.