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Finding the Fourth Proportional to 35,874, 49,506.12 and 20,970

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Solution

The fourth proportional to 35,874, 49,506.12 and 20,970 is: 28,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874 : 49,506.12 = 20,970 : x
  2. Step 2: Convert to fraction form
    35,874/49,506.12 = 20,970/x
  3. Step 3: Cross multiply
    35,874x = 49,506.12 × 20,970
  4. Step 4: Simplify right side
    35,874x = 1,038,143,336.40
  5. Step 5: Solve for x
    x = 1,038,143,336.40/35,874
  6. Step 6: Final answer
    x = 28,938.60

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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.