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Finding the Fourth Proportional to 35,655.56, 49,205.18 and 19,740

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Solution

The fourth proportional to 35,655.56, 49,205.18 and 19,740 is: 27,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.56 : 49,205.18 = 19,740 : x
  2. Step 2: Convert to fraction form
    35,655.56/49,205.18 = 19,740/x
  3. Step 3: Cross multiply
    35,655.56x = 49,205.18 × 19,740
  4. Step 4: Simplify right side
    35,655.56x = 971,310,253.20
  5. Step 5: Solve for x
    x = 971,310,253.20/35,655.56
  6. Step 6: Final answer
    x = 27,241.48

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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.