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Finding the Fourth Proportional to 5,274.09, 7,909.54 and 1,763.20

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Solution

The fourth proportional to 5,274.09, 7,909.54 and 1,763.20 is: 2,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.09 : 7,909.54 = 1,763.20 : x
  2. Step 2: Convert to fraction form
    5,274.09/7,909.54 = 1,763.20/x
  3. Step 3: Cross multiply
    5,274.09x = 7,909.54 × 1,763.20
  4. Step 4: Simplify right side
    5,274.09x = 13,946,066.87
  5. Step 5: Solve for x
    x = 13,946,066.87/5,274.09
  6. Step 6: Final answer
    x = 2,644.26

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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.