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Finding the Fourth Proportional to 11,376, 15,690.24 and 7,845.12

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Solution

The fourth proportional to 11,376, 15,690.24 and 7,845.12 is: 10,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 15,690.24 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    11,376/15,690.24 = 7,845.12/x
  3. Step 3: Cross multiply
    11,376x = 15,690.24 × 7,845.12
  4. Step 4: Simplify right side
    11,376x = 123,091,815.63
  5. Step 5: Solve for x
    x = 123,091,815.63/11,376
  6. Step 6: Final answer
    x = 10,820.31

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1.5x scale

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.