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Finding the Fourth Proportional to 20,967.50, 28,935.24 and 11,536.22

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Solution

The fourth proportional to 20,967.50, 28,935.24 and 11,536.22 is: 15,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.50 : 28,935.24 = 11,536.22 : x
  2. Step 2: Convert to fraction form
    20,967.50/28,935.24 = 11,536.22/x
  3. Step 3: Cross multiply
    20,967.50x = 28,935.24 × 11,536.22
  4. Step 4: Simplify right side
    20,967.50x = 333,803,294.39
  5. Step 5: Solve for x
    x = 333,803,294.39/20,967.50
  6. Step 6: Final answer
    x = 15,920.03

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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.