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Finding the Fourth Proportional to 12,788.04, 17,653.50 and 11,080.02

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Solution

The fourth proportional to 12,788.04, 17,653.50 and 11,080.02 is: 15,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.04 : 17,653.50 = 11,080.02 : x
  2. Step 2: Convert to fraction form
    12,788.04/17,653.50 = 11,080.02/x
  3. Step 3: Cross multiply
    12,788.04x = 17,653.50 × 11,080.02
  4. Step 4: Simplify right side
    12,788.04x = 195,601,133.07
  5. Step 5: Solve for x
    x = 195,601,133.07/12,788.04
  6. Step 6: Final answer
    x = 15,295.63

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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.