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Finding the Fourth Proportional to 30,831.51, 46,247.11 and 7,457.95

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Solution

The fourth proportional to 30,831.51, 46,247.11 and 7,457.95 is: 11,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.51 : 46,247.11 = 7,457.95 : x
  2. Step 2: Convert to fraction form
    30,831.51/46,247.11 = 7,457.95/x
  3. Step 3: Cross multiply
    30,831.51x = 46,247.11 × 7,457.95
  4. Step 4: Simplify right side
    30,831.51x = 344,908,634.02
  5. Step 5: Solve for x
    x = 344,908,634.02/30,831.51
  6. Step 6: Final answer
    x = 11,186.89

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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.