Home / 14,742-20,361.24-9,765.36

Finding the Fourth Proportional to 14,742, 20,361.24 and 9,765.36

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Solution

The fourth proportional to 14,742, 20,361.24 and 9,765.36 is: 13,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 20,361.24 = 9,765.36 : x
  2. Step 2: Convert to fraction form
    14,742/20,361.24 = 9,765.36/x
  3. Step 3: Cross multiply
    14,742x = 20,361.24 × 9,765.36
  4. Step 4: Simplify right side
    14,742x = 198,834,838.65
  5. Step 5: Solve for x
    x = 198,834,838.65/14,742
  6. Step 6: Final answer
    x = 13,487.64

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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.