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Finding the Fourth Proportional to 1,292.50, 1,783.65 and 827.38

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Solution

The fourth proportional to 1,292.50, 1,783.65 and 827.38 is: 1,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.50 : 1,783.65 = 827.38 : x
  2. Step 2: Convert to fraction form
    1,292.50/1,783.65 = 827.38/x
  3. Step 3: Cross multiply
    1,292.50x = 1,783.65 × 827.38
  4. Step 4: Simplify right side
    1,292.50x = 1,475,756.34
  5. Step 5: Solve for x
    x = 1,475,756.34/1,292.50
  6. Step 6: Final answer
    x = 1,141.78

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1.5x scale

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.