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Finding the Fourth Proportional to 13,167.83, 18,171 and 7,199.51

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Solution

The fourth proportional to 13,167.83, 18,171 and 7,199.51 is: 9,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.83 : 18,171 = 7,199.51 : x
  2. Step 2: Convert to fraction form
    13,167.83/18,171 = 7,199.51/x
  3. Step 3: Cross multiply
    13,167.83x = 18,171 × 7,199.51
  4. Step 4: Simplify right side
    13,167.83x = 130,822,205.36
  5. Step 5: Solve for x
    x = 130,822,205.36/13,167.83
  6. Step 6: Final answer
    x = 9,934.98

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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.