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Finding the Fourth Proportional to 13,985.00, 20,977.50 and 9,589.13

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Solution

The fourth proportional to 13,985.00, 20,977.50 and 9,589.13 is: 14,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.00 : 20,977.50 = 9,589.13 : x
  2. Step 2: Convert to fraction form
    13,985.00/20,977.50 = 9,589.13/x
  3. Step 3: Cross multiply
    13,985.00x = 20,977.50 × 9,589.13
  4. Step 4: Simplify right side
    13,985.00x = 201,155,869.69
  5. Step 5: Solve for x
    x = 201,155,869.69/13,985.00
  6. Step 6: Final answer
    x = 14,383.69

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Similar ratio
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1.5x scale

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.