Home / 31,894-47,504.09-30,228.64

Finding the Fourth Proportional to 31,894, 47,504.09 and 30,228.64

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Solution

The fourth proportional to 31,894, 47,504.09 and 30,228.64 is: 45,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894 : 47,504.09 = 30,228.64 : x
  2. Step 2: Convert to fraction form
    31,894/47,504.09 = 30,228.64/x
  3. Step 3: Cross multiply
    31,894x = 47,504.09 × 30,228.64
  4. Step 4: Simplify right side
    31,894x = 1,435,984,035.14
  5. Step 5: Solve for x
    x = 1,435,984,035.14/31,894
  6. Step 6: Final answer
    x = 45,023.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.