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Finding the Fourth Proportional to 20,257.84, 30,386.56 and 6,406.84

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Solution

The fourth proportional to 20,257.84, 30,386.56 and 6,406.84 is: 9,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.84 : 30,386.56 = 6,406.84 : x
  2. Step 2: Convert to fraction form
    20,257.84/30,386.56 = 6,406.84/x
  3. Step 3: Cross multiply
    20,257.84x = 30,386.56 × 6,406.84
  4. Step 4: Simplify right side
    20,257.84x = 194,681,828.07
  5. Step 5: Solve for x
    x = 194,681,828.07/20,257.84
  6. Step 6: Final answer
    x = 9,610.20

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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.