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Finding the Fourth Proportional to 10,783.68, 16,174.80 and 3,764.40

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Solution

The fourth proportional to 10,783.68, 16,174.80 and 3,764.40 is: 5,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.68 : 16,174.80 = 3,764.40 : x
  2. Step 2: Convert to fraction form
    10,783.68/16,174.80 = 3,764.40/x
  3. Step 3: Cross multiply
    10,783.68x = 16,174.80 × 3,764.40
  4. Step 4: Simplify right side
    10,783.68x = 60,888,417.12
  5. Step 5: Solve for x
    x = 60,888,417.12/10,783.68
  6. Step 6: Final answer
    x = 5,646.35

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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.