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Finding the Fourth Proportional to 11,971.68, 16,521.62 and 6,666.63

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Solution

The fourth proportional to 11,971.68, 16,521.62 and 6,666.63 is: 9,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.68 : 16,521.62 = 6,666.63 : x
  2. Step 2: Convert to fraction form
    11,971.68/16,521.62 = 6,666.63/x
  3. Step 3: Cross multiply
    11,971.68x = 16,521.62 × 6,666.63
  4. Step 4: Simplify right side
    11,971.68x = 110,143,494.21
  5. Step 5: Solve for x
    x = 110,143,494.21/11,971.68
  6. Step 6: Final answer
    x = 9,200.34

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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.