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Finding the Fourth Proportional to 14,311.76, 21,470.88 and 5,077.76

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Solution

The fourth proportional to 14,311.76, 21,470.88 and 5,077.76 is: 7,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.76 : 21,470.88 = 5,077.76 : x
  2. Step 2: Convert to fraction form
    14,311.76/21,470.88 = 5,077.76/x
  3. Step 3: Cross multiply
    14,311.76x = 21,470.88 × 5,077.76
  4. Step 4: Simplify right side
    14,311.76x = 109,023,975.63
  5. Step 5: Solve for x
    x = 109,023,975.63/14,311.76
  6. Step 6: Final answer
    x = 7,617.79

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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.