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Finding the Fourth Proportional to 7,870.35, 11,797.20 and 2,604

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Solution

The fourth proportional to 7,870.35, 11,797.20 and 2,604 is: 3,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.35 : 11,797.20 = 2,604 : x
  2. Step 2: Convert to fraction form
    7,870.35/11,797.20 = 2,604/x
  3. Step 3: Cross multiply
    7,870.35x = 11,797.20 × 2,604
  4. Step 4: Simplify right side
    7,870.35x = 30,719,908.80
  5. Step 5: Solve for x
    x = 30,719,908.80/7,870.35
  6. Step 6: Final answer
    x = 3,903.25

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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.