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Finding the Fourth Proportional to 17,626, 26,439.16 and 5,779.60

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Solution

The fourth proportional to 17,626, 26,439.16 and 5,779.60 is: 8,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626 : 26,439.16 = 5,779.60 : x
  2. Step 2: Convert to fraction form
    17,626/26,439.16 = 5,779.60/x
  3. Step 3: Cross multiply
    17,626x = 26,439.16 × 5,779.60
  4. Step 4: Simplify right side
    17,626x = 152,807,769.14
  5. Step 5: Solve for x
    x = 152,807,769.14/17,626
  6. Step 6: Final answer
    x = 8,669.45

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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.