Home / 2,831.68-3,907.84-1,653.28

Finding the Fourth Proportional to 2,831.68, 3,907.84 and 1,653.28

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Solution

The fourth proportional to 2,831.68, 3,907.84 and 1,653.28 is: 2,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.68 : 3,907.84 = 1,653.28 : x
  2. Step 2: Convert to fraction form
    2,831.68/3,907.84 = 1,653.28/x
  3. Step 3: Cross multiply
    2,831.68x = 3,907.84 × 1,653.28
  4. Step 4: Simplify right side
    2,831.68x = 6,460,753.72
  5. Step 5: Solve for x
    x = 6,460,753.72/2,831.68
  6. Step 6: Final answer
    x = 2,281.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.