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Finding the Fourth Proportional to 7,870.85, 11,797.95 and 2,604.50

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Solution

The fourth proportional to 7,870.85, 11,797.95 and 2,604.50 is: 3,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.85 : 11,797.95 = 2,604.50 : x
  2. Step 2: Convert to fraction form
    7,870.85/11,797.95 = 2,604.50/x
  3. Step 3: Cross multiply
    7,870.85x = 11,797.95 × 2,604.50
  4. Step 4: Simplify right side
    7,870.85x = 30,727,760.78
  5. Step 5: Solve for x
    x = 30,727,760.78/7,870.85
  6. Step 6: Final answer
    x = 3,904.00

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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.