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Finding the Fourth Proportional to 28,852, 39,815.76 and 15,604

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Solution

The fourth proportional to 28,852, 39,815.76 and 15,604 is: 21,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,852 : 39,815.76 = 15,604 : x
  2. Step 2: Convert to fraction form
    28,852/39,815.76 = 15,604/x
  3. Step 3: Cross multiply
    28,852x = 39,815.76 × 15,604
  4. Step 4: Simplify right side
    28,852x = 621,285,119.04
  5. Step 5: Solve for x
    x = 621,285,119.04/28,852
  6. Step 6: Final answer
    x = 21,533.52

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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.