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Finding the Fourth Proportional to 5,776.85, 7,972.70 and 3,538.22

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Solution

The fourth proportional to 5,776.85, 7,972.70 and 3,538.22 is: 4,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.85 : 7,972.70 = 3,538.22 : x
  2. Step 2: Convert to fraction form
    5,776.85/7,972.70 = 3,538.22/x
  3. Step 3: Cross multiply
    5,776.85x = 7,972.70 × 3,538.22
  4. Step 4: Simplify right side
    5,776.85x = 28,209,109.04
  5. Step 5: Solve for x
    x = 28,209,109.04/5,776.85
  6. Step 6: Final answer
    x = 4,883.13

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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.