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Finding the Fourth Proportional to 28,391.76, 42,302.34 and 26,802

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Solution

The fourth proportional to 28,391.76, 42,302.34 and 26,802 is: 39,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,391.76 : 42,302.34 = 26,802 : x
  2. Step 2: Convert to fraction form
    28,391.76/42,302.34 = 26,802/x
  3. Step 3: Cross multiply
    28,391.76x = 42,302.34 × 26,802
  4. Step 4: Simplify right side
    28,391.76x = 1,133,787,316.68
  5. Step 5: Solve for x
    x = 1,133,787,316.68/28,391.76
  6. Step 6: Final answer
    x = 39,933.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.