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Finding the Fourth Proportional to 13,872.40, 20,730.18 and 9,984.40

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Solution

The fourth proportional to 13,872.40, 20,730.18 and 9,984.40 is: 14,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.40 : 20,730.18 = 9,984.40 : x
  2. Step 2: Convert to fraction form
    13,872.40/20,730.18 = 9,984.40/x
  3. Step 3: Cross multiply
    13,872.40x = 20,730.18 × 9,984.40
  4. Step 4: Simplify right side
    13,872.40x = 206,978,409.19
  5. Step 5: Solve for x
    x = 206,978,409.19/13,872.40
  6. Step 6: Final answer
    x = 14,920.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.