Home / 3,870.24-5,804.64-1,097.16

Finding the Fourth Proportional to 3,870.24, 5,804.64 and 1,097.16

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Solution

The fourth proportional to 3,870.24, 5,804.64 and 1,097.16 is: 1,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.24 : 5,804.64 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    3,870.24/5,804.64 = 1,097.16/x
  3. Step 3: Cross multiply
    3,870.24x = 5,804.64 × 1,097.16
  4. Step 4: Simplify right side
    3,870.24x = 6,368,618.82
  5. Step 5: Solve for x
    x = 6,368,618.82/3,870.24
  6. Step 6: Final answer
    x = 1,645.54

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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.