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Finding the Fourth Proportional to 18,930.93, 26,124.69 and 10,977.78

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Solution

The fourth proportional to 18,930.93, 26,124.69 and 10,977.78 is: 15,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930.93 : 26,124.69 = 10,977.78 : x
  2. Step 2: Convert to fraction form
    18,930.93/26,124.69 = 10,977.78/x
  3. Step 3: Cross multiply
    18,930.93x = 26,124.69 × 10,977.78
  4. Step 4: Simplify right side
    18,930.93x = 286,791,099.39
  5. Step 5: Solve for x
    x = 286,791,099.39/18,930.93
  6. Step 6: Final answer
    x = 15,149.34

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1.5x scale

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.