Home / 1,413.28-2,119.84-1,023.68

Finding the Fourth Proportional to 1,413.28, 2,119.84 and 1,023.68

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Solution

The fourth proportional to 1,413.28, 2,119.84 and 1,023.68 is: 1,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.28 : 2,119.84 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    1,413.28/2,119.84 = 1,023.68/x
  3. Step 3: Cross multiply
    1,413.28x = 2,119.84 × 1,023.68
  4. Step 4: Simplify right side
    1,413.28x = 2,170,037.81
  5. Step 5: Solve for x
    x = 2,170,037.81/1,413.28
  6. Step 6: Final answer
    x = 1,535.46

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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.