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Finding the Fourth Proportional to 2,140.71, 3,207.90 and 971.07

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Solution

The fourth proportional to 2,140.71, 3,207.90 and 971.07 is: 1,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.71 : 3,207.90 = 971.07 : x
  2. Step 2: Convert to fraction form
    2,140.71/3,207.90 = 971.07/x
  3. Step 3: Cross multiply
    2,140.71x = 3,207.90 × 971.07
  4. Step 4: Simplify right side
    2,140.71x = 3,115,095.45
  5. Step 5: Solve for x
    x = 3,115,095.45/2,140.71
  6. Step 6: Final answer
    x = 1,455.17

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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.