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Finding the Fourth Proportional to 14,586, 21,765.18 and 13,015.20

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Solution

The fourth proportional to 14,586, 21,765.18 and 13,015.20 is: 19,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 21,765.18 = 13,015.20 : x
  2. Step 2: Convert to fraction form
    14,586/21,765.18 = 13,015.20/x
  3. Step 3: Cross multiply
    14,586x = 21,765.18 × 13,015.20
  4. Step 4: Simplify right side
    14,586x = 283,278,170.74
  5. Step 5: Solve for x
    x = 283,278,170.74/14,586
  6. Step 6: Final answer
    x = 19,421.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.