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Finding the Fourth Proportional to 28,758, 39,686.04 and 16,182.84

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Solution

The fourth proportional to 28,758, 39,686.04 and 16,182.84 is: 22,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,758 : 39,686.04 = 16,182.84 : x
  2. Step 2: Convert to fraction form
    28,758/39,686.04 = 16,182.84/x
  3. Step 3: Cross multiply
    28,758x = 39,686.04 × 16,182.84
  4. Step 4: Simplify right side
    28,758x = 642,232,835.55
  5. Step 5: Solve for x
    x = 642,232,835.55/28,758
  6. Step 6: Final answer
    x = 22,332.32

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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.