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Finding the Fourth Proportional to 9,676.78, 14,515.14 and 2,656.87

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Solution

The fourth proportional to 9,676.78, 14,515.14 and 2,656.87 is: 3,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.78 : 14,515.14 = 2,656.87 : x
  2. Step 2: Convert to fraction form
    9,676.78/14,515.14 = 2,656.87/x
  3. Step 3: Cross multiply
    9,676.78x = 14,515.14 × 2,656.87
  4. Step 4: Simplify right side
    9,676.78x = 38,564,840.01
  5. Step 5: Solve for x
    x = 38,564,840.01/9,676.78
  6. Step 6: Final answer
    x = 3,985.30

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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.