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Finding the Fourth Proportional to 20,642.40, 30,975.93 and 7,495.78

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Solution

The fourth proportional to 20,642.40, 30,975.93 and 7,495.78 is: 11,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.40 : 30,975.93 = 7,495.78 : x
  2. Step 2: Convert to fraction form
    20,642.40/30,975.93 = 7,495.78/x
  3. Step 3: Cross multiply
    20,642.40x = 30,975.93 × 7,495.78
  4. Step 4: Simplify right side
    20,642.40x = 232,188,756.58
  5. Step 5: Solve for x
    x = 232,188,756.58/20,642.40
  6. Step 6: Final answer
    x = 11,248.15

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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.