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Finding the Fourth Proportional to 8,954.88, 13,430.40 and 3,408

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Solution

The fourth proportional to 8,954.88, 13,430.40 and 3,408 is: 5,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.88 : 13,430.40 = 3,408 : x
  2. Step 2: Convert to fraction form
    8,954.88/13,430.40 = 3,408/x
  3. Step 3: Cross multiply
    8,954.88x = 13,430.40 × 3,408
  4. Step 4: Simplify right side
    8,954.88x = 45,770,803.20
  5. Step 5: Solve for x
    x = 45,770,803.20/8,954.88
  6. Step 6: Final answer
    x = 5,111.27

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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.