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Finding the Fourth Proportional to 35,775, 49,369.50 and 20,871

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Solution

The fourth proportional to 35,775, 49,369.50 and 20,871 is: 28,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775 : 49,369.50 = 20,871 : x
  2. Step 2: Convert to fraction form
    35,775/49,369.50 = 20,871/x
  3. Step 3: Cross multiply
    35,775x = 49,369.50 × 20,871
  4. Step 4: Simplify right side
    35,775x = 1,030,390,834.50
  5. Step 5: Solve for x
    x = 1,030,390,834.50/35,775
  6. Step 6: Final answer
    x = 28,801.98

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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.