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Finding the Fourth Proportional to 17,117, 23,621.46 and 9,665

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Solution

The fourth proportional to 17,117, 23,621.46 and 9,665 is: 13,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117 : 23,621.46 = 9,665 : x
  2. Step 2: Convert to fraction form
    17,117/23,621.46 = 9,665/x
  3. Step 3: Cross multiply
    17,117x = 23,621.46 × 9,665
  4. Step 4: Simplify right side
    17,117x = 228,301,410.90
  5. Step 5: Solve for x
    x = 228,301,410.90/17,117
  6. Step 6: Final answer
    x = 13,337.70

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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.