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Finding the Fourth Proportional to 15,851, 23,779.74 and 6,617

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Solution

The fourth proportional to 15,851, 23,779.74 and 6,617 is: 9,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851 : 23,779.74 = 6,617 : x
  2. Step 2: Convert to fraction form
    15,851/23,779.74 = 6,617/x
  3. Step 3: Cross multiply
    15,851x = 23,779.74 × 6,617
  4. Step 4: Simplify right side
    15,851x = 157,350,539.58
  5. Step 5: Solve for x
    x = 157,350,539.58/15,851
  6. Step 6: Final answer
    x = 9,926.85

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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.