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Finding the Fourth Proportional to 12,129.29, 16,737.53 and 6,823.09

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Solution

The fourth proportional to 12,129.29, 16,737.53 and 6,823.09 is: 9,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.29 : 16,737.53 = 6,823.09 : x
  2. Step 2: Convert to fraction form
    12,129.29/16,737.53 = 6,823.09/x
  3. Step 3: Cross multiply
    12,129.29x = 16,737.53 × 6,823.09
  4. Step 4: Simplify right side
    12,129.29x = 114,201,555.76
  5. Step 5: Solve for x
    x = 114,201,555.76/12,129.29
  6. Step 6: Final answer
    x = 9,415.35

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1.5x scale

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.