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Finding the Fourth Proportional to 13,678.16, 18,874.48 and 7,709.68

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Solution

The fourth proportional to 13,678.16, 18,874.48 and 7,709.68 is: 10,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.16 : 18,874.48 = 7,709.68 : x
  2. Step 2: Convert to fraction form
    13,678.16/18,874.48 = 7,709.68/x
  3. Step 3: Cross multiply
    13,678.16x = 18,874.48 × 7,709.68
  4. Step 4: Simplify right side
    13,678.16x = 145,516,200.97
  5. Step 5: Solve for x
    x = 145,516,200.97/13,678.16
  6. Step 6: Final answer
    x = 10,638.58

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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.