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Finding the Fourth Proportional to 1,945.30, 2,915.51 and 971.68

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Solution

The fourth proportional to 1,945.30, 2,915.51 and 971.68 is: 1,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.30 : 2,915.51 = 971.68 : x
  2. Step 2: Convert to fraction form
    1,945.30/2,915.51 = 971.68/x
  3. Step 3: Cross multiply
    1,945.30x = 2,915.51 × 971.68
  4. Step 4: Simplify right side
    1,945.30x = 2,832,942.76
  5. Step 5: Solve for x
    x = 2,832,942.76/1,945.30
  6. Step 6: Final answer
    x = 1,456.30

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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.