Home / 1,971.35-2,956.98-510.49

Finding the Fourth Proportional to 1,971.35, 2,956.98 and 510.49

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Solution

The fourth proportional to 1,971.35, 2,956.98 and 510.49 is: 765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.35 : 2,956.98 = 510.49 : x
  2. Step 2: Convert to fraction form
    1,971.35/2,956.98 = 510.49/x
  3. Step 3: Cross multiply
    1,971.35x = 2,956.98 × 510.49
  4. Step 4: Simplify right side
    1,971.35x = 1,509,508.72
  5. Step 5: Solve for x
    x = 1,509,508.72/1,971.35
  6. Step 6: Final answer
    x = 765.73

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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.