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Finding the Fourth Proportional to 12,980.53, 17,913.21 and 7,606.14

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Solution

The fourth proportional to 12,980.53, 17,913.21 and 7,606.14 is: 10,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.53 : 17,913.21 = 7,606.14 : x
  2. Step 2: Convert to fraction form
    12,980.53/17,913.21 = 7,606.14/x
  3. Step 3: Cross multiply
    12,980.53x = 17,913.21 × 7,606.14
  4. Step 4: Simplify right side
    12,980.53x = 136,250,287.41
  5. Step 5: Solve for x
    x = 136,250,287.41/12,980.53
  6. Step 6: Final answer
    x = 10,496.51

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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.