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Finding the Fourth Proportional to 13,016.16, 17,955 and 8,292.24

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Solution

The fourth proportional to 13,016.16, 17,955 and 8,292.24 is: 11,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.16 : 17,955 = 8,292.24 : x
  2. Step 2: Convert to fraction form
    13,016.16/17,955 = 8,292.24/x
  3. Step 3: Cross multiply
    13,016.16x = 17,955 × 8,292.24
  4. Step 4: Simplify right side
    13,016.16x = 148,887,169.20
  5. Step 5: Solve for x
    x = 148,887,169.20/13,016.16
  6. Step 6: Final answer
    x = 11,438.64

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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.