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Finding the Fourth Proportional to 8,785.40, 13,178.58 and 2,941.48

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Solution

The fourth proportional to 8,785.40, 13,178.58 and 2,941.48 is: 4,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.40 : 13,178.58 = 2,941.48 : x
  2. Step 2: Convert to fraction form
    8,785.40/13,178.58 = 2,941.48/x
  3. Step 3: Cross multiply
    8,785.40x = 13,178.58 × 2,941.48
  4. Step 4: Simplify right side
    8,785.40x = 38,764,529.50
  5. Step 5: Solve for x
    x = 38,764,529.50/8,785.40
  6. Step 6: Final answer
    x = 4,412.38

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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.