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Finding the Fourth Proportional to 1,971.10, 2,957.32 and 876.23

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Solution

The fourth proportional to 1,971.10, 2,957.32 and 876.23 is: 1,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.10 : 2,957.32 = 876.23 : x
  2. Step 2: Convert to fraction form
    1,971.10/2,957.32 = 876.23/x
  3. Step 3: Cross multiply
    1,971.10x = 2,957.32 × 876.23
  4. Step 4: Simplify right side
    1,971.10x = 2,591,277.72
  5. Step 5: Solve for x
    x = 2,591,277.72/1,971.10
  6. Step 6: Final answer
    x = 1,314.64

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1.5x scale

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.