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Finding the Fourth Proportional to 2,159.90, 2,980.13 and 1,215.50

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Solution

The fourth proportional to 2,159.90, 2,980.13 and 1,215.50 is: 1,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.90 : 2,980.13 = 1,215.50 : x
  2. Step 2: Convert to fraction form
    2,159.90/2,980.13 = 1,215.50/x
  3. Step 3: Cross multiply
    2,159.90x = 2,980.13 × 1,215.50
  4. Step 4: Simplify right side
    2,159.90x = 3,622,341.94
  5. Step 5: Solve for x
    x = 3,622,341.94/2,159.90
  6. Step 6: Final answer
    x = 1,677.09

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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.