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Finding the Fourth Proportional to 30,899, 46,351.92 and 9,831.66

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Solution

The fourth proportional to 30,899, 46,351.92 and 9,831.66 is: 14,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899 : 46,351.92 = 9,831.66 : x
  2. Step 2: Convert to fraction form
    30,899/46,351.92 = 9,831.66/x
  3. Step 3: Cross multiply
    30,899x = 46,351.92 × 9,831.66
  4. Step 4: Simplify right side
    30,899x = 455,716,317.79
  5. Step 5: Solve for x
    x = 455,716,317.79/30,899
  6. Step 6: Final answer
    x = 14,748.58

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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.