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Finding the Fourth Proportional to 52,701.85, 72,729.08 and 28,828

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Solution

The fourth proportional to 52,701.85, 72,729.08 and 28,828 is: 39,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701.85 : 72,729.08 = 28,828 : x
  2. Step 2: Convert to fraction form
    52,701.85/72,729.08 = 28,828/x
  3. Step 3: Cross multiply
    52,701.85x = 72,729.08 × 28,828
  4. Step 4: Simplify right side
    52,701.85x = 2,096,633,918.24
  5. Step 5: Solve for x
    x = 2,096,633,918.24/52,701.85
  6. Step 6: Final answer
    x = 39,782.93

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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.