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Finding the Fourth Proportional to 17,692.78, 26,457.14 and 13,698.77

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Solution

The fourth proportional to 17,692.78, 26,457.14 and 13,698.77 is: 20,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.78 : 26,457.14 = 13,698.77 : x
  2. Step 2: Convert to fraction form
    17,692.78/26,457.14 = 13,698.77/x
  3. Step 3: Cross multiply
    17,692.78x = 26,457.14 × 13,698.77
  4. Step 4: Simplify right side
    17,692.78x = 362,430,177.68
  5. Step 5: Solve for x
    x = 362,430,177.68/17,692.78
  6. Step 6: Final answer
    x = 20,484.64

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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.