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Finding the Fourth Proportional to 2,158.91, 2,980.31 and 1,412.90

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Solution

The fourth proportional to 2,158.91, 2,980.31 and 1,412.90 is: 1,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.91 : 2,980.31 = 1,412.90 : x
  2. Step 2: Convert to fraction form
    2,158.91/2,980.31 = 1,412.90/x
  3. Step 3: Cross multiply
    2,158.91x = 2,980.31 × 1,412.90
  4. Step 4: Simplify right side
    2,158.91x = 4,210,880.00
  5. Step 5: Solve for x
    x = 4,210,880.00/2,158.91
  6. Step 6: Final answer
    x = 1,950.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.