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Finding the Fourth Proportional to 7,851.98, 11,775.48 and 2,656.64

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Solution

The fourth proportional to 7,851.98, 11,775.48 and 2,656.64 is: 3,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.98 : 11,775.48 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    7,851.98/11,775.48 = 2,656.64/x
  3. Step 3: Cross multiply
    7,851.98x = 11,775.48 × 2,656.64
  4. Step 4: Simplify right side
    7,851.98x = 31,283,211.19
  5. Step 5: Solve for x
    x = 31,283,211.19/7,851.98
  6. Step 6: Final answer
    x = 3,984.12

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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.