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Finding the Fourth Proportional to 14,361.98, 19,820.30 and 8,397.14

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Solution

The fourth proportional to 14,361.98, 19,820.30 and 8,397.14 is: 11,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.98 : 19,820.30 = 8,397.14 : x
  2. Step 2: Convert to fraction form
    14,361.98/19,820.30 = 8,397.14/x
  3. Step 3: Cross multiply
    14,361.98x = 19,820.30 × 8,397.14
  4. Step 4: Simplify right side
    14,361.98x = 166,433,692.85
  5. Step 5: Solve for x
    x = 166,433,692.85/14,361.98
  6. Step 6: Final answer
    x = 11,588.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.