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Finding the Fourth Proportional to 14,783.76, 20,404.80 and 9,739.44

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Solution

The fourth proportional to 14,783.76, 20,404.80 and 9,739.44 is: 13,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.76 : 20,404.80 = 9,739.44 : x
  2. Step 2: Convert to fraction form
    14,783.76/20,404.80 = 9,739.44/x
  3. Step 3: Cross multiply
    14,783.76x = 20,404.80 × 9,739.44
  4. Step 4: Simplify right side
    14,783.76x = 198,731,325.31
  5. Step 5: Solve for x
    x = 198,731,325.31/14,783.76
  6. Step 6: Final answer
    x = 13,442.54

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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.