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Finding the Fourth Proportional to 28,786, 39,724.80 and 16,210.96

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Solution

The fourth proportional to 28,786, 39,724.80 and 16,210.96 is: 22,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,786 : 39,724.80 = 16,210.96 : x
  2. Step 2: Convert to fraction form
    28,786/39,724.80 = 16,210.96/x
  3. Step 3: Cross multiply
    28,786x = 39,724.80 × 16,210.96
  4. Step 4: Simplify right side
    28,786x = 643,977,143.81
  5. Step 5: Solve for x
    x = 643,977,143.81/28,786
  6. Step 6: Final answer
    x = 22,371.19

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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.