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Finding the Fourth Proportional to 30,715.93, 42,379.50 and 17,286.40

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Solution

The fourth proportional to 30,715.93, 42,379.50 and 17,286.40 is: 23,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.93 : 42,379.50 = 17,286.40 : x
  2. Step 2: Convert to fraction form
    30,715.93/42,379.50 = 17,286.40/x
  3. Step 3: Cross multiply
    30,715.93x = 42,379.50 × 17,286.40
  4. Step 4: Simplify right side
    30,715.93x = 732,588,988.80
  5. Step 5: Solve for x
    x = 732,588,988.80/30,715.93
  6. Step 6: Final answer
    x = 23,850.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.