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Finding the Fourth Proportional to 18,818, 25,969.68 and 10,434.48

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Solution

The fourth proportional to 18,818, 25,969.68 and 10,434.48 is: 14,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,818 : 25,969.68 = 10,434.48 : x
  2. Step 2: Convert to fraction form
    18,818/25,969.68 = 10,434.48/x
  3. Step 3: Cross multiply
    18,818x = 25,969.68 × 10,434.48
  4. Step 4: Simplify right side
    18,818x = 270,980,106.57
  5. Step 5: Solve for x
    x = 270,980,106.57/18,818
  6. Step 6: Final answer
    x = 14,400.05

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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.