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Finding the Fourth Proportional to 17,387.64, 23,994.77 and 9,429.80

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Solution

The fourth proportional to 17,387.64, 23,994.77 and 9,429.80 is: 13,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,387.64 : 23,994.77 = 9,429.80 : x
  2. Step 2: Convert to fraction form
    17,387.64/23,994.77 = 9,429.80/x
  3. Step 3: Cross multiply
    17,387.64x = 23,994.77 × 9,429.80
  4. Step 4: Simplify right side
    17,387.64x = 226,265,715.02
  5. Step 5: Solve for x
    x = 226,265,715.02/17,387.64
  6. Step 6: Final answer
    x = 13,013.02

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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.