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Finding the Fourth Proportional to 12,309.53, 16,987.14 and 6,720.53

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Solution

The fourth proportional to 12,309.53, 16,987.14 and 6,720.53 is: 9,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.53 : 16,987.14 = 6,720.53 : x
  2. Step 2: Convert to fraction form
    12,309.53/16,987.14 = 6,720.53/x
  3. Step 3: Cross multiply
    12,309.53x = 16,987.14 × 6,720.53
  4. Step 4: Simplify right side
    12,309.53x = 114,162,499.05
  5. Step 5: Solve for x
    x = 114,162,499.05/12,309.53
  6. Step 6: Final answer
    x = 9,274.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.