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Finding the Fourth Proportional to 30,457, 45,692.22 and 12,941.80

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Solution

The fourth proportional to 30,457, 45,692.22 and 12,941.80 is: 19,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457 : 45,692.22 = 12,941.80 : x
  2. Step 2: Convert to fraction form
    30,457/45,692.22 = 12,941.80/x
  3. Step 3: Cross multiply
    30,457x = 45,692.22 × 12,941.80
  4. Step 4: Simplify right side
    30,457x = 591,339,572.80
  5. Step 5: Solve for x
    x = 591,339,572.80/30,457
  6. Step 6: Final answer
    x = 19,415.56

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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.