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Finding the Fourth Proportional to 7,830.19, 11,747.84 and 2,900.19

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Solution

The fourth proportional to 7,830.19, 11,747.84 and 2,900.19 is: 4,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.19 : 11,747.84 = 2,900.19 : x
  2. Step 2: Convert to fraction form
    7,830.19/11,747.84 = 2,900.19/x
  3. Step 3: Cross multiply
    7,830.19x = 11,747.84 × 2,900.19
  4. Step 4: Simplify right side
    7,830.19x = 34,070,902.10
  5. Step 5: Solve for x
    x = 34,070,902.10/7,830.19
  6. Step 6: Final answer
    x = 4,351.23

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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.