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Finding the Fourth Proportional to 13,107.16, 18,113.57 and 11,649.16

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Solution

The fourth proportional to 13,107.16, 18,113.57 and 11,649.16 is: 16,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.16 : 18,113.57 = 11,649.16 : x
  2. Step 2: Convert to fraction form
    13,107.16/18,113.57 = 11,649.16/x
  3. Step 3: Cross multiply
    13,107.16x = 18,113.57 × 11,649.16
  4. Step 4: Simplify right side
    13,107.16x = 211,007,875.10
  5. Step 5: Solve for x
    x = 211,007,875.10/13,107.16
  6. Step 6: Final answer
    x = 16,098.67

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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.