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Finding the Fourth Proportional to 11,700.08, 16,143 and 7,165.16

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Solution

The fourth proportional to 11,700.08, 16,143 and 7,165.16 is: 9,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.08 : 16,143 = 7,165.16 : x
  2. Step 2: Convert to fraction form
    11,700.08/16,143 = 7,165.16/x
  3. Step 3: Cross multiply
    11,700.08x = 16,143 × 7,165.16
  4. Step 4: Simplify right side
    11,700.08x = 115,667,177.88
  5. Step 5: Solve for x
    x = 115,667,177.88/11,700.08
  6. Step 6: Final answer
    x = 9,886.02

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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.