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Finding the Fourth Proportional to 2,678.57, 4,041.63 and 2,678.57

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Solution

The fourth proportional to 2,678.57, 4,041.63 and 2,678.57 is: 4,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.57 : 4,041.63 = 2,678.57 : x
  2. Step 2: Convert to fraction form
    2,678.57/4,041.63 = 2,678.57/x
  3. Step 3: Cross multiply
    2,678.57x = 4,041.63 × 2,678.57
  4. Step 4: Simplify right side
    2,678.57x = 10,825,775.48
  5. Step 5: Solve for x
    x = 10,825,775.48/2,678.57
  6. Step 6: Final answer
    x = 4,041.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.