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Finding the Fourth Proportional to 12,807, 17,673.93 and 7,218

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Solution

The fourth proportional to 12,807, 17,673.93 and 7,218 is: 9,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807 : 17,673.93 = 7,218 : x
  2. Step 2: Convert to fraction form
    12,807/17,673.93 = 7,218/x
  3. Step 3: Cross multiply
    12,807x = 17,673.93 × 7,218
  4. Step 4: Simplify right side
    12,807x = 127,570,426.74
  5. Step 5: Solve for x
    x = 127,570,426.74/12,807
  6. Step 6: Final answer
    x = 9,960.99

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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.