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Finding the Fourth Proportional to 11,700, 17,556.35 and 6,779.25

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Solution

The fourth proportional to 11,700, 17,556.35 and 6,779.25 is: 10,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,556.35 = 6,779.25 : x
  2. Step 2: Convert to fraction form
    11,700/17,556.35 = 6,779.25/x
  3. Step 3: Cross multiply
    11,700x = 17,556.35 × 6,779.25
  4. Step 4: Simplify right side
    11,700x = 119,018,851.84
  5. Step 5: Solve for x
    x = 119,018,851.84/11,700
  6. Step 6: Final answer
    x = 10,172.55

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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.