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Finding the Fourth Proportional to 14,535, 21,810.38 and 11,254.50

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Solution

The fourth proportional to 14,535, 21,810.38 and 11,254.50 is: 16,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535 : 21,810.38 = 11,254.50 : x
  2. Step 2: Convert to fraction form
    14,535/21,810.38 = 11,254.50/x
  3. Step 3: Cross multiply
    14,535x = 21,810.38 × 11,254.50
  4. Step 4: Simplify right side
    14,535x = 245,464,865.44
  5. Step 5: Solve for x
    x = 245,464,865.44/14,535
  6. Step 6: Final answer
    x = 16,887.85

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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.