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Finding the Fourth Proportional to 2,725.72, 4,088.37 and 970.66

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Solution

The fourth proportional to 2,725.72, 4,088.37 and 970.66 is: 1,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.72 : 4,088.37 = 970.66 : x
  2. Step 2: Convert to fraction form
    2,725.72/4,088.37 = 970.66/x
  3. Step 3: Cross multiply
    2,725.72x = 4,088.37 × 970.66
  4. Step 4: Simplify right side
    2,725.72x = 3,968,396.78
  5. Step 5: Solve for x
    x = 3,968,396.78/2,725.72
  6. Step 6: Final answer
    x = 1,455.91

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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.