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Finding the Fourth Proportional to 11,900.86, 16,402.21 and 10,526.09

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Solution

The fourth proportional to 11,900.86, 16,402.21 and 10,526.09 is: 14,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.86 : 16,402.21 = 10,526.09 : x
  2. Step 2: Convert to fraction form
    11,900.86/16,402.21 = 10,526.09/x
  3. Step 3: Cross multiply
    11,900.86x = 16,402.21 × 10,526.09
  4. Step 4: Simplify right side
    11,900.86x = 172,651,138.66
  5. Step 5: Solve for x
    x = 172,651,138.66/11,900.86
  6. Step 6: Final answer
    x = 14,507.45

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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.