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Finding the Fourth Proportional to 7,102.75, 10,656.15 and 2,423.80

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Solution

The fourth proportional to 7,102.75, 10,656.15 and 2,423.80 is: 3,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.75 : 10,656.15 = 2,423.80 : x
  2. Step 2: Convert to fraction form
    7,102.75/10,656.15 = 2,423.80/x
  3. Step 3: Cross multiply
    7,102.75x = 10,656.15 × 2,423.80
  4. Step 4: Simplify right side
    7,102.75x = 25,828,376.37
  5. Step 5: Solve for x
    x = 25,828,376.37/7,102.75
  6. Step 6: Final answer
    x = 3,636.39

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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.