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Finding the Fourth Proportional to 5,292.85, 7,939.20 and 1,783.63

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Solution

The fourth proportional to 5,292.85, 7,939.20 and 1,783.63 is: 2,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.85 : 7,939.20 = 1,783.63 : x
  2. Step 2: Convert to fraction form
    5,292.85/7,939.20 = 1,783.63/x
  3. Step 3: Cross multiply
    5,292.85x = 7,939.20 × 1,783.63
  4. Step 4: Simplify right side
    5,292.85x = 14,160,595.30
  5. Step 5: Solve for x
    x = 14,160,595.30/5,292.85
  6. Step 6: Final answer
    x = 2,675.42

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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.