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Finding the Fourth Proportional to 13,985.39, 20,978.09 and 9,589.52

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Solution

The fourth proportional to 13,985.39, 20,978.09 and 9,589.52 is: 14,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.39 : 20,978.09 = 9,589.52 : x
  2. Step 2: Convert to fraction form
    13,985.39/20,978.09 = 9,589.52/x
  3. Step 3: Cross multiply
    13,985.39x = 20,978.09 × 9,589.52
  4. Step 4: Simplify right side
    13,985.39x = 201,169,660.78
  5. Step 5: Solve for x
    x = 201,169,660.78/13,985.39
  6. Step 6: Final answer
    x = 14,384.28

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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.