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Finding the Fourth Proportional to 13,785.84, 20,678.76 and 5,018.76

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Solution

The fourth proportional to 13,785.84, 20,678.76 and 5,018.76 is: 7,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.84 : 20,678.76 = 5,018.76 : x
  2. Step 2: Convert to fraction form
    13,785.84/20,678.76 = 5,018.76/x
  3. Step 3: Cross multiply
    13,785.84x = 20,678.76 × 5,018.76
  4. Step 4: Simplify right side
    13,785.84x = 103,781,733.54
  5. Step 5: Solve for x
    x = 103,781,733.54/13,785.84
  6. Step 6: Final answer
    x = 7,528.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.