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Finding the Fourth Proportional to 1,971.06, 2,956.64 and 931.55

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Solution

The fourth proportional to 1,971.06, 2,956.64 and 931.55 is: 1,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.06 : 2,956.64 = 931.55 : x
  2. Step 2: Convert to fraction form
    1,971.06/2,956.64 = 931.55/x
  3. Step 3: Cross multiply
    1,971.06x = 2,956.64 × 931.55
  4. Step 4: Simplify right side
    1,971.06x = 2,754,238.55
  5. Step 5: Solve for x
    x = 2,754,238.55/1,971.06
  6. Step 6: Final answer
    x = 1,397.34

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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.