Home / 5,098.14-7,646.02-1,400.66

Finding the Fourth Proportional to 5,098.14, 7,646.02 and 1,400.66

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Solution

The fourth proportional to 5,098.14, 7,646.02 and 1,400.66 is: 2,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.14 : 7,646.02 = 1,400.66 : x
  2. Step 2: Convert to fraction form
    5,098.14/7,646.02 = 1,400.66/x
  3. Step 3: Cross multiply
    5,098.14x = 7,646.02 × 1,400.66
  4. Step 4: Simplify right side
    5,098.14x = 10,709,474.37
  5. Step 5: Solve for x
    x = 10,709,474.37/5,098.14
  6. Step 6: Final answer
    x = 2,100.66

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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.