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Finding the Fourth Proportional to 20,519, 30,756.48 and 10,655.84

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Solution

The fourth proportional to 20,519, 30,756.48 and 10,655.84 is: 15,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519 : 30,756.48 = 10,655.84 : x
  2. Step 2: Convert to fraction form
    20,519/30,756.48 = 10,655.84/x
  3. Step 3: Cross multiply
    20,519x = 30,756.48 × 10,655.84
  4. Step 4: Simplify right side
    20,519x = 327,736,129.84
  5. Step 5: Solve for x
    x = 327,736,129.84/20,519
  6. Step 6: Final answer
    x = 15,972.32

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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.