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Finding the Fourth Proportional to 13,970.81, 20,956.12 and 5,650.74

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Solution

The fourth proportional to 13,970.81, 20,956.12 and 5,650.74 is: 8,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.81 : 20,956.12 = 5,650.74 : x
  2. Step 2: Convert to fraction form
    13,970.81/20,956.12 = 5,650.74/x
  3. Step 3: Cross multiply
    13,970.81x = 20,956.12 × 5,650.74
  4. Step 4: Simplify right side
    13,970.81x = 118,417,571.40
  5. Step 5: Solve for x
    x = 118,417,571.40/13,970.81
  6. Step 6: Final answer
    x = 8,476.07

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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.