Home / 1,980.09-2,966.47-1,430.91

Finding the Fourth Proportional to 1,980.09, 2,966.47 and 1,430.91

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Solution

The fourth proportional to 1,980.09, 2,966.47 and 1,430.91 is: 2,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.09 : 2,966.47 = 1,430.91 : x
  2. Step 2: Convert to fraction form
    1,980.09/2,966.47 = 1,430.91/x
  3. Step 3: Cross multiply
    1,980.09x = 2,966.47 × 1,430.91
  4. Step 4: Simplify right side
    1,980.09x = 4,244,748.01
  5. Step 5: Solve for x
    x = 4,244,748.01/1,980.09
  6. Step 6: Final answer
    x = 2,143.71

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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.