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Finding the Fourth Proportional to 15,779.76, 23,669.55 and 6,417.96

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Solution

The fourth proportional to 15,779.76, 23,669.55 and 6,417.96 is: 9,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.76 : 23,669.55 = 6,417.96 : x
  2. Step 2: Convert to fraction form
    15,779.76/23,669.55 = 6,417.96/x
  3. Step 3: Cross multiply
    15,779.76x = 23,669.55 × 6,417.96
  4. Step 4: Simplify right side
    15,779.76x = 151,910,225.12
  5. Step 5: Solve for x
    x = 151,910,225.12/15,779.76
  6. Step 6: Final answer
    x = 9,626.90

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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.