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Finding the Fourth Proportional to 12,363.14, 18,520 and 7,430.10

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Solution

The fourth proportional to 12,363.14, 18,520 and 7,430.10 is: 11,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.14 : 18,520 = 7,430.10 : x
  2. Step 2: Convert to fraction form
    12,363.14/18,520 = 7,430.10/x
  3. Step 3: Cross multiply
    12,363.14x = 18,520 × 7,430.10
  4. Step 4: Simplify right side
    12,363.14x = 137,605,452
  5. Step 5: Solve for x
    x = 137,605,452/12,363.14
  6. Step 6: Final answer
    x = 11,130.30

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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.