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Finding the Fourth Proportional to 13,585.10, 18,747 and 7,617.11

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Solution

The fourth proportional to 13,585.10, 18,747 and 7,617.11 is: 10,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.10 : 18,747 = 7,617.11 : x
  2. Step 2: Convert to fraction form
    13,585.10/18,747 = 7,617.11/x
  3. Step 3: Cross multiply
    13,585.10x = 18,747 × 7,617.11
  4. Step 4: Simplify right side
    13,585.10x = 142,797,867.44
  5. Step 5: Solve for x
    x = 142,797,867.44/13,585.10
  6. Step 6: Final answer
    x = 10,511.36

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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.