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Finding the Fourth Proportional to 17,509.60, 26,271.60 and 6,421.60

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Solution

The fourth proportional to 17,509.60, 26,271.60 and 6,421.60 is: 9,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.60 : 26,271.60 = 6,421.60 : x
  2. Step 2: Convert to fraction form
    17,509.60/26,271.60 = 6,421.60/x
  3. Step 3: Cross multiply
    17,509.60x = 26,271.60 × 6,421.60
  4. Step 4: Simplify right side
    17,509.60x = 168,705,706.56
  5. Step 5: Solve for x
    x = 168,705,706.56/17,509.60
  6. Step 6: Final answer
    x = 9,635.04

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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.