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Finding the Fourth Proportional to 29,176, 40,263.12 and 15,928

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Solution

The fourth proportional to 29,176, 40,263.12 and 15,928 is: 21,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,176 : 40,263.12 = 15,928 : x
  2. Step 2: Convert to fraction form
    29,176/40,263.12 = 15,928/x
  3. Step 3: Cross multiply
    29,176x = 40,263.12 × 15,928
  4. Step 4: Simplify right side
    29,176x = 641,310,975.36
  5. Step 5: Solve for x
    x = 641,310,975.36/29,176
  6. Step 6: Final answer
    x = 21,980.77

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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.