Home / 1,971.06-2,960.70-1,663.50

Finding the Fourth Proportional to 1,971.06, 2,960.70 and 1,663.50

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Solution

The fourth proportional to 1,971.06, 2,960.70 and 1,663.50 is: 2,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.06 : 2,960.70 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    1,971.06/2,960.70 = 1,663.50/x
  3. Step 3: Cross multiply
    1,971.06x = 2,960.70 × 1,663.50
  4. Step 4: Simplify right side
    1,971.06x = 4,925,124.45
  5. Step 5: Solve for x
    x = 4,925,124.45/1,971.06
  6. Step 6: Final answer
    x = 2,498.72

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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.