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Finding the Fourth Proportional to 31,077.84, 46,289.49 and 30,429.84

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Solution

The fourth proportional to 31,077.84, 46,289.49 and 30,429.84 is: 45,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.84 : 46,289.49 = 30,429.84 : x
  2. Step 2: Convert to fraction form
    31,077.84/46,289.49 = 30,429.84/x
  3. Step 3: Cross multiply
    31,077.84x = 46,289.49 × 30,429.84
  4. Step 4: Simplify right side
    31,077.84x = 1,408,581,774.38
  5. Step 5: Solve for x
    x = 1,408,581,774.38/31,077.84
  6. Step 6: Final answer
    x = 45,324.31

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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.