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Finding the Fourth Proportional to 2,951.78, 4,425.71 and 1,564.25

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Solution

The fourth proportional to 2,951.78, 4,425.71 and 1,564.25 is: 2,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.78 : 4,425.71 = 1,564.25 : x
  2. Step 2: Convert to fraction form
    2,951.78/4,425.71 = 1,564.25/x
  3. Step 3: Cross multiply
    2,951.78x = 4,425.71 × 1,564.25
  4. Step 4: Simplify right side
    2,951.78x = 6,922,886.92
  5. Step 5: Solve for x
    x = 6,922,886.92/2,951.78
  6. Step 6: Final answer
    x = 2,345.33

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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.