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Finding the Fourth Proportional to 12,408.96, 17,124.48 and 6,820

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Solution

The fourth proportional to 12,408.96, 17,124.48 and 6,820 is: 9,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.96 : 17,124.48 = 6,820 : x
  2. Step 2: Convert to fraction form
    12,408.96/17,124.48 = 6,820/x
  3. Step 3: Cross multiply
    12,408.96x = 17,124.48 × 6,820
  4. Step 4: Simplify right side
    12,408.96x = 116,788,953.60
  5. Step 5: Solve for x
    x = 116,788,953.60/12,408.96
  6. Step 6: Final answer
    x = 9,411.66

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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.