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Finding the Fourth Proportional to 1,971.70, 2,971.06 and 1,632.64

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Solution

The fourth proportional to 1,971.70, 2,971.06 and 1,632.64 is: 2,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.70 : 2,971.06 = 1,632.64 : x
  2. Step 2: Convert to fraction form
    1,971.70/2,971.06 = 1,632.64/x
  3. Step 3: Cross multiply
    1,971.70x = 2,971.06 × 1,632.64
  4. Step 4: Simplify right side
    1,971.70x = 4,850,671.40
  5. Step 5: Solve for x
    x = 4,850,671.40/1,971.70
  6. Step 6: Final answer
    x = 2,460.15

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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.