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Finding the Fourth Proportional to 14,268.70, 21,401.70 and 4,907.80

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Solution

The fourth proportional to 14,268.70, 21,401.70 and 4,907.80 is: 7,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.70 : 21,401.70 = 4,907.80 : x
  2. Step 2: Convert to fraction form
    14,268.70/21,401.70 = 4,907.80/x
  3. Step 3: Cross multiply
    14,268.70x = 21,401.70 × 4,907.80
  4. Step 4: Simplify right side
    14,268.70x = 105,035,263.26
  5. Step 5: Solve for x
    x = 105,035,263.26/14,268.70
  6. Step 6: Final answer
    x = 7,361.24

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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.