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Finding the Fourth Proportional to 2,866.54, 4,292.50 and 1,889.68

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Solution

The fourth proportional to 2,866.54, 4,292.50 and 1,889.68 is: 2,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.54 : 4,292.50 = 1,889.68 : x
  2. Step 2: Convert to fraction form
    2,866.54/4,292.50 = 1,889.68/x
  3. Step 3: Cross multiply
    2,866.54x = 4,292.50 × 1,889.68
  4. Step 4: Simplify right side
    2,866.54x = 8,111,451.40
  5. Step 5: Solve for x
    x = 8,111,451.40/2,866.54
  6. Step 6: Final answer
    x = 2,829.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.