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Finding the Fourth Proportional to 7,507.80, 11,204.10 and 5,855.40

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Solution

The fourth proportional to 7,507.80, 11,204.10 and 5,855.40 is: 8,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.80 : 11,204.10 = 5,855.40 : x
  2. Step 2: Convert to fraction form
    7,507.80/11,204.10 = 5,855.40/x
  3. Step 3: Cross multiply
    7,507.80x = 11,204.10 × 5,855.40
  4. Step 4: Simplify right side
    7,507.80x = 65,604,487.14
  5. Step 5: Solve for x
    x = 65,604,487.14/7,507.80
  6. Step 6: Final answer
    x = 8,738.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.