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Finding the Fourth Proportional to 28,828, 39,782.64 and 15,580

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Solution

The fourth proportional to 28,828, 39,782.64 and 15,580 is: 21,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,828 : 39,782.64 = 15,580 : x
  2. Step 2: Convert to fraction form
    28,828/39,782.64 = 15,580/x
  3. Step 3: Cross multiply
    28,828x = 39,782.64 × 15,580
  4. Step 4: Simplify right side
    28,828x = 619,813,531.20
  5. Step 5: Solve for x
    x = 619,813,531.20/28,828
  6. Step 6: Final answer
    x = 21,500.40

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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.