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Finding the Fourth Proportional to 35,309.67, 52,964.50 and 13,128.63

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Solution

The fourth proportional to 35,309.67, 52,964.50 and 13,128.63 is: 19,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309.67 : 52,964.50 = 13,128.63 : x
  2. Step 2: Convert to fraction form
    35,309.67/52,964.50 = 13,128.63/x
  3. Step 3: Cross multiply
    35,309.67x = 52,964.50 × 13,128.63
  4. Step 4: Simplify right side
    35,309.67x = 695,351,323.64
  5. Step 5: Solve for x
    x = 695,351,323.64/35,309.67
  6. Step 6: Final answer
    x = 19,692.94

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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.