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Finding the Fourth Proportional to 8,672.64, 13,017.06 and 4,771.68

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Solution

The fourth proportional to 8,672.64, 13,017.06 and 4,771.68 is: 7,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.64 : 13,017.06 = 4,771.68 : x
  2. Step 2: Convert to fraction form
    8,672.64/13,017.06 = 4,771.68/x
  3. Step 3: Cross multiply
    8,672.64x = 13,017.06 × 4,771.68
  4. Step 4: Simplify right side
    8,672.64x = 62,113,244.86
  5. Step 5: Solve for x
    x = 62,113,244.86/8,672.64
  6. Step 6: Final answer
    x = 7,161.98

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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.