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Finding the Fourth Proportional to 30,780, 46,176.48 and 12,312

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Solution

The fourth proportional to 30,780, 46,176.48 and 12,312 is: 18,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 46,176.48 = 12,312 : x
  2. Step 2: Convert to fraction form
    30,780/46,176.48 = 12,312/x
  3. Step 3: Cross multiply
    30,780x = 46,176.48 × 12,312
  4. Step 4: Simplify right side
    30,780x = 568,524,821.76
  5. Step 5: Solve for x
    x = 568,524,821.76/30,780
  6. Step 6: Final answer
    x = 18,470.59

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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.