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Finding the Fourth Proportional to 15,030, 20,742.36 and 8,406

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Solution

The fourth proportional to 15,030, 20,742.36 and 8,406 is: 11,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,030 : 20,742.36 = 8,406 : x
  2. Step 2: Convert to fraction form
    15,030/20,742.36 = 8,406/x
  3. Step 3: Cross multiply
    15,030x = 20,742.36 × 8,406
  4. Step 4: Simplify right side
    15,030x = 174,360,278.16
  5. Step 5: Solve for x
    x = 174,360,278.16/15,030
  6. Step 6: Final answer
    x = 11,600.82

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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.