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Finding the Fourth Proportional to 35,681.95, 53,523.80 and 11,989.84

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Solution

The fourth proportional to 35,681.95, 53,523.80 and 11,989.84 is: 17,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,681.95 : 53,523.80 = 11,989.84 : x
  2. Step 2: Convert to fraction form
    35,681.95/53,523.80 = 11,989.84/x
  3. Step 3: Cross multiply
    35,681.95x = 53,523.80 × 11,989.84
  4. Step 4: Simplify right side
    35,681.95x = 641,741,716.03
  5. Step 5: Solve for x
    x = 641,741,716.03/35,681.95
  6. Step 6: Final answer
    x = 17,985.05

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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.