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Finding the Fourth Proportional to 8,430.50, 11,634.09 and 4,704.50

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Solution

The fourth proportional to 8,430.50, 11,634.09 and 4,704.50 is: 6,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.50 : 11,634.09 = 4,704.50 : x
  2. Step 2: Convert to fraction form
    8,430.50/11,634.09 = 4,704.50/x
  3. Step 3: Cross multiply
    8,430.50x = 11,634.09 × 4,704.50
  4. Step 4: Simplify right side
    8,430.50x = 54,732,576.41
  5. Step 5: Solve for x
    x = 54,732,576.41/8,430.50
  6. Step 6: Final answer
    x = 6,492.21

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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.