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Finding the Fourth Proportional to 1,971.18, 2,956.93 and 654.89

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Solution

The fourth proportional to 1,971.18, 2,956.93 and 654.89 is: 982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.18 : 2,956.93 = 654.89 : x
  2. Step 2: Convert to fraction form
    1,971.18/2,956.93 = 654.89/x
  3. Step 3: Cross multiply
    1,971.18x = 2,956.93 × 654.89
  4. Step 4: Simplify right side
    1,971.18x = 1,936,447.47
  5. Step 5: Solve for x
    x = 1,936,447.47/1,971.18
  6. Step 6: Final answer
    x = 982.38

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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.