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Finding the Fourth Proportional to 20,451, 28,222.62 and 12,384.51

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Solution

The fourth proportional to 20,451, 28,222.62 and 12,384.51 is: 17,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 28,222.62 = 12,384.51 : x
  2. Step 2: Convert to fraction form
    20,451/28,222.62 = 12,384.51/x
  3. Step 3: Cross multiply
    20,451x = 28,222.62 × 12,384.51
  4. Step 4: Simplify right side
    20,451x = 349,523,319.62
  5. Step 5: Solve for x
    x = 349,523,319.62/20,451
  6. Step 6: Final answer
    x = 17,090.77

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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.