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Finding the Fourth Proportional to 8,402.94, 12,606.28 and 2,560

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Solution

The fourth proportional to 8,402.94, 12,606.28 and 2,560 is: 3,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.94 : 12,606.28 = 2,560 : x
  2. Step 2: Convert to fraction form
    8,402.94/12,606.28 = 2,560/x
  3. Step 3: Cross multiply
    8,402.94x = 12,606.28 × 2,560
  4. Step 4: Simplify right side
    8,402.94x = 32,272,076.80
  5. Step 5: Solve for x
    x = 32,272,076.80/8,402.94
  6. Step 6: Final answer
    x = 3,840.57

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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.