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Finding the Fourth Proportional to 51,921, 71,652.60 and 29,565

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Solution

The fourth proportional to 51,921, 71,652.60 and 29,565 is: 40,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921 : 71,652.60 = 29,565 : x
  2. Step 2: Convert to fraction form
    51,921/71,652.60 = 29,565/x
  3. Step 3: Cross multiply
    51,921x = 71,652.60 × 29,565
  4. Step 4: Simplify right side
    51,921x = 2,118,409,119.00
  5. Step 5: Solve for x
    x = 2,118,409,119.00/51,921
  6. Step 6: Final answer
    x = 40,800.62

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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.