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Finding the Fourth Proportional to 8,771.64, 12,108.22 and 5,415

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Solution

The fourth proportional to 8,771.64, 12,108.22 and 5,415 is: 7,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.64 : 12,108.22 = 5,415 : x
  2. Step 2: Convert to fraction form
    8,771.64/12,108.22 = 5,415/x
  3. Step 3: Cross multiply
    8,771.64x = 12,108.22 × 5,415
  4. Step 4: Simplify right side
    8,771.64x = 65,566,011.30
  5. Step 5: Solve for x
    x = 65,566,011.30/8,771.64
  6. Step 6: Final answer
    x = 7,474.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.