Home / 1,971.27-2,956.98-655.08

Finding the Fourth Proportional to 1,971.27, 2,956.98 and 655.08

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Solution

The fourth proportional to 1,971.27, 2,956.98 and 655.08 is: 982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.27 : 2,956.98 = 655.08 : x
  2. Step 2: Convert to fraction form
    1,971.27/2,956.98 = 655.08/x
  3. Step 3: Cross multiply
    1,971.27x = 2,956.98 × 655.08
  4. Step 4: Simplify right side
    1,971.27x = 1,937,058.46
  5. Step 5: Solve for x
    x = 1,937,058.46/1,971.27
  6. Step 6: Final answer
    x = 982.64

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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.