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Finding the Fourth Proportional to 12,151.69, 18,207 and 7,461.93

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Solution

The fourth proportional to 12,151.69, 18,207 and 7,461.93 is: 11,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.69 : 18,207 = 7,461.93 : x
  2. Step 2: Convert to fraction form
    12,151.69/18,207 = 7,461.93/x
  3. Step 3: Cross multiply
    12,151.69x = 18,207 × 7,461.93
  4. Step 4: Simplify right side
    12,151.69x = 135,859,359.51
  5. Step 5: Solve for x
    x = 135,859,359.51/12,151.69
  6. Step 6: Final answer
    x = 11,180.29

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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.