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Finding the Fourth Proportional to 7,420, 11,130.34 and 4,130.62

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Solution

The fourth proportional to 7,420, 11,130.34 and 4,130.62 is: 6,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 11,130.34 = 4,130.62 : x
  2. Step 2: Convert to fraction form
    7,420/11,130.34 = 4,130.62/x
  3. Step 3: Cross multiply
    7,420x = 11,130.34 × 4,130.62
  4. Step 4: Simplify right side
    7,420x = 45,975,205.01
  5. Step 5: Solve for x
    x = 45,975,205.01/7,420
  6. Step 6: Final answer
    x = 6,196.12

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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.