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Finding the Fourth Proportional to 20,424.84, 30,649.14 and 7,953.48

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Solution

The fourth proportional to 20,424.84, 30,649.14 and 7,953.48 is: 11,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.84 : 30,649.14 = 7,953.48 : x
  2. Step 2: Convert to fraction form
    20,424.84/30,649.14 = 7,953.48/x
  3. Step 3: Cross multiply
    20,424.84x = 30,649.14 × 7,953.48
  4. Step 4: Simplify right side
    20,424.84x = 243,767,322.01
  5. Step 5: Solve for x
    x = 243,767,322.01/20,424.84
  6. Step 6: Final answer
    x = 11,934.85

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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.