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Finding the Fourth Proportional to 28,817, 39,767.46 and 15,569

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Solution

The fourth proportional to 28,817, 39,767.46 and 15,569 is: 21,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,817 : 39,767.46 = 15,569 : x
  2. Step 2: Convert to fraction form
    28,817/39,767.46 = 15,569/x
  3. Step 3: Cross multiply
    28,817x = 39,767.46 × 15,569
  4. Step 4: Simplify right side
    28,817x = 619,139,584.74
  5. Step 5: Solve for x
    x = 619,139,584.74/28,817
  6. Step 6: Final answer
    x = 21,485.22

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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.