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Finding the Fourth Proportional to 14,309.84, 21,470.92 and 6,919.86

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Solution

The fourth proportional to 14,309.84, 21,470.92 and 6,919.86 is: 10,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.84 : 21,470.92 = 6,919.86 : x
  2. Step 2: Convert to fraction form
    14,309.84/21,470.92 = 6,919.86/x
  3. Step 3: Cross multiply
    14,309.84x = 21,470.92 × 6,919.86
  4. Step 4: Simplify right side
    14,309.84x = 148,575,760.47
  5. Step 5: Solve for x
    x = 148,575,760.47/14,309.84
  6. Step 6: Final answer
    x = 10,382.77

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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.