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Finding the Fourth Proportional to 30,800.50, 46,200.71 and 7,426.94

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Solution

The fourth proportional to 30,800.50, 46,200.71 and 7,426.94 is: 11,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.50 : 46,200.71 = 7,426.94 : x
  2. Step 2: Convert to fraction form
    30,800.50/46,200.71 = 7,426.94/x
  3. Step 3: Cross multiply
    30,800.50x = 46,200.71 × 7,426.94
  4. Step 4: Simplify right side
    30,800.50x = 343,129,688.69
  5. Step 5: Solve for x
    x = 343,129,688.69/30,800.50
  6. Step 6: Final answer
    x = 11,140.39

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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.