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Finding the Fourth Proportional to 13,879.63, 19,155.74 and 7,831.11

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Solution

The fourth proportional to 13,879.63, 19,155.74 and 7,831.11 is: 10,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.63 : 19,155.74 = 7,831.11 : x
  2. Step 2: Convert to fraction form
    13,879.63/19,155.74 = 7,831.11/x
  3. Step 3: Cross multiply
    13,879.63x = 19,155.74 × 7,831.11
  4. Step 4: Simplify right side
    13,879.63x = 150,010,707.07
  5. Step 5: Solve for x
    x = 150,010,707.07/13,879.63
  6. Step 6: Final answer
    x = 10,807.98

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1.5x scale

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.