Home / 1,497.68-2,231.47-1,413.84

Finding the Fourth Proportional to 1,497.68, 2,231.47 and 1,413.84

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Solution

The fourth proportional to 1,497.68, 2,231.47 and 1,413.84 is: 2,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.68 : 2,231.47 = 1,413.84 : x
  2. Step 2: Convert to fraction form
    1,497.68/2,231.47 = 1,413.84/x
  3. Step 3: Cross multiply
    1,497.68x = 2,231.47 × 1,413.84
  4. Step 4: Simplify right side
    1,497.68x = 3,154,943.73
  5. Step 5: Solve for x
    x = 3,154,943.73/1,497.68
  6. Step 6: Final answer
    x = 2,106.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.