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Finding the Fourth Proportional to 30,776.88, 46,169.78 and 9,709.80

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Solution

The fourth proportional to 30,776.88, 46,169.78 and 9,709.80 is: 14,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.88 : 46,169.78 = 9,709.80 : x
  2. Step 2: Convert to fraction form
    30,776.88/46,169.78 = 9,709.80/x
  3. Step 3: Cross multiply
    30,776.88x = 46,169.78 × 9,709.80
  4. Step 4: Simplify right side
    30,776.88x = 448,299,329.84
  5. Step 5: Solve for x
    x = 448,299,329.84/30,776.88
  6. Step 6: Final answer
    x = 14,566.11

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1.5x scale

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.