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Finding the Fourth Proportional to 12,813, 19,210.14 and 8,642.64

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Solution

The fourth proportional to 12,813, 19,210.14 and 8,642.64 is: 12,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813 : 19,210.14 = 8,642.64 : x
  2. Step 2: Convert to fraction form
    12,813/19,210.14 = 8,642.64/x
  3. Step 3: Cross multiply
    12,813x = 19,210.14 × 8,642.64
  4. Step 4: Simplify right side
    12,813x = 166,026,324.37
  5. Step 5: Solve for x
    x = 166,026,324.37/12,813
  6. Step 6: Final answer
    x = 12,957.65

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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.