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Finding the Fourth Proportional to 14,357, 21,529.74 and 7,689.80

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Solution

The fourth proportional to 14,357, 21,529.74 and 7,689.80 is: 11,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357 : 21,529.74 = 7,689.80 : x
  2. Step 2: Convert to fraction form
    14,357/21,529.74 = 7,689.80/x
  3. Step 3: Cross multiply
    14,357x = 21,529.74 × 7,689.80
  4. Step 4: Simplify right side
    14,357x = 165,559,394.65
  5. Step 5: Solve for x
    x = 165,559,394.65/14,357
  6. Step 6: Final answer
    x = 11,531.61

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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.