Home / 30,742-46,112.19-8,554.48

Finding the Fourth Proportional to 30,742, 46,112.19 and 8,554.48

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Solution

The fourth proportional to 30,742, 46,112.19 and 8,554.48 is: 12,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742 : 46,112.19 = 8,554.48 : x
  2. Step 2: Convert to fraction form
    30,742/46,112.19 = 8,554.48/x
  3. Step 3: Cross multiply
    30,742x = 46,112.19 × 8,554.48
  4. Step 4: Simplify right side
    30,742x = 394,465,807.11
  5. Step 5: Solve for x
    x = 394,465,807.11/30,742
  6. Step 6: Final answer
    x = 12,831.49

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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.