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Finding the Fourth Proportional to 3,953.34, 5,455.45 and 2,275

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Solution

The fourth proportional to 3,953.34, 5,455.45 and 2,275 is: 3,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.34 : 5,455.45 = 2,275 : x
  2. Step 2: Convert to fraction form
    3,953.34/5,455.45 = 2,275/x
  3. Step 3: Cross multiply
    3,953.34x = 5,455.45 × 2,275
  4. Step 4: Simplify right side
    3,953.34x = 12,411,148.75
  5. Step 5: Solve for x
    x = 12,411,148.75/3,953.34
  6. Step 6: Final answer
    x = 3,139.41

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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.