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Finding the Fourth Proportional to 13,931.14, 20,873.17 and 6,901.78

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Solution

The fourth proportional to 13,931.14, 20,873.17 and 6,901.78 is: 10,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.14 : 20,873.17 = 6,901.78 : x
  2. Step 2: Convert to fraction form
    13,931.14/20,873.17 = 6,901.78/x
  3. Step 3: Cross multiply
    13,931.14x = 20,873.17 × 6,901.78
  4. Step 4: Simplify right side
    13,931.14x = 144,062,027.24
  5. Step 5: Solve for x
    x = 144,062,027.24/13,931.14
  6. Step 6: Final answer
    x = 10,341.01

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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.