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Finding the Fourth Proportional to 34,486.64, 51,720.52 and 9,520.72

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Solution

The fourth proportional to 34,486.64, 51,720.52 and 9,520.72 is: 14,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486.64 : 51,720.52 = 9,520.72 : x
  2. Step 2: Convert to fraction form
    34,486.64/51,720.52 = 9,520.72/x
  3. Step 3: Cross multiply
    34,486.64x = 51,720.52 × 9,520.72
  4. Step 4: Simplify right side
    34,486.64x = 492,416,589.17
  5. Step 5: Solve for x
    x = 492,416,589.17/34,486.64
  6. Step 6: Final answer
    x = 14,278.47

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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.