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Finding the Fourth Proportional to 12,167.15, 18,243.74 and 4,762.94

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Solution

The fourth proportional to 12,167.15, 18,243.74 and 4,762.94 is: 7,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.15 : 18,243.74 = 4,762.94 : x
  2. Step 2: Convert to fraction form
    12,167.15/18,243.74 = 4,762.94/x
  3. Step 3: Cross multiply
    12,167.15x = 18,243.74 × 4,762.94
  4. Step 4: Simplify right side
    12,167.15x = 86,893,896.51
  5. Step 5: Solve for x
    x = 86,893,896.51/12,167.15
  6. Step 6: Final answer
    x = 7,141.68

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1.5x scale

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.