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Finding the Fourth Proportional to 28,413, 39,209.94 and 15,838.56

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Solution

The fourth proportional to 28,413, 39,209.94 and 15,838.56 is: 21,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 39,209.94 = 15,838.56 : x
  2. Step 2: Convert to fraction form
    28,413/39,209.94 = 15,838.56/x
  3. Step 3: Cross multiply
    28,413x = 39,209.94 × 15,838.56
  4. Step 4: Simplify right side
    28,413x = 621,028,987.29
  5. Step 5: Solve for x
    x = 621,028,987.29/28,413
  6. Step 6: Final answer
    x = 21,857.21

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1.5x scale

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.