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Finding the Fourth Proportional to 13,430, 20,130.60 and 6,489.20

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Solution

The fourth proportional to 13,430, 20,130.60 and 6,489.20 is: 9,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430 : 20,130.60 = 6,489.20 : x
  2. Step 2: Convert to fraction form
    13,430/20,130.60 = 6,489.20/x
  3. Step 3: Cross multiply
    13,430x = 20,130.60 × 6,489.20
  4. Step 4: Simplify right side
    13,430x = 130,631,489.52
  5. Step 5: Solve for x
    x = 130,631,489.52/13,430
  6. Step 6: Final answer
    x = 9,726.84

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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.