Home / 5,097.78-7,646.04-1,400.34

Finding the Fourth Proportional to 5,097.78, 7,646.04 and 1,400.34

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Solution

The fourth proportional to 5,097.78, 7,646.04 and 1,400.34 is: 2,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.78 : 7,646.04 = 1,400.34 : x
  2. Step 2: Convert to fraction form
    5,097.78/7,646.04 = 1,400.34/x
  3. Step 3: Cross multiply
    5,097.78x = 7,646.04 × 1,400.34
  4. Step 4: Simplify right side
    5,097.78x = 10,707,055.65
  5. Step 5: Solve for x
    x = 10,707,055.65/5,097.78
  6. Step 6: Final answer
    x = 2,100.34

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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.