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Finding the Fourth Proportional to 13,387.16, 18,481 and 9,429.50

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Solution

The fourth proportional to 13,387.16, 18,481 and 9,429.50 is: 13,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.16 : 18,481 = 9,429.50 : x
  2. Step 2: Convert to fraction form
    13,387.16/18,481 = 9,429.50/x
  3. Step 3: Cross multiply
    13,387.16x = 18,481 × 9,429.50
  4. Step 4: Simplify right side
    13,387.16x = 174,266,589.50
  5. Step 5: Solve for x
    x = 174,266,589.50/13,387.16
  6. Step 6: Final answer
    x = 13,017.44

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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.