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Finding the Fourth Proportional to 3,242, 4,860.84 and 1,509.68

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Solution

The fourth proportional to 3,242, 4,860.84 and 1,509.68 is: 2,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242 : 4,860.84 = 1,509.68 : x
  2. Step 2: Convert to fraction form
    3,242/4,860.84 = 1,509.68/x
  3. Step 3: Cross multiply
    3,242x = 4,860.84 × 1,509.68
  4. Step 4: Simplify right side
    3,242x = 7,338,312.93
  5. Step 5: Solve for x
    x = 7,338,312.93/3,242
  6. Step 6: Final answer
    x = 2,263.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.