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Finding the Fourth Proportional to 14,491.51, 21,709.62 and 7,811.44

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Solution

The fourth proportional to 14,491.51, 21,709.62 and 7,811.44 is: 11,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.51 : 21,709.62 = 7,811.44 : x
  2. Step 2: Convert to fraction form
    14,491.51/21,709.62 = 7,811.44/x
  3. Step 3: Cross multiply
    14,491.51x = 21,709.62 × 7,811.44
  4. Step 4: Simplify right side
    14,491.51x = 169,583,339.78
  5. Step 5: Solve for x
    x = 169,583,339.78/14,491.51
  6. Step 6: Final answer
    x = 11,702.26

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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.