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Finding the Fourth Proportional to 14,295, 21,451.32 and 7,636.50

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Solution

The fourth proportional to 14,295, 21,451.32 and 7,636.50 is: 11,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295 : 21,451.32 = 7,636.50 : x
  2. Step 2: Convert to fraction form
    14,295/21,451.32 = 7,636.50/x
  3. Step 3: Cross multiply
    14,295x = 21,451.32 × 7,636.50
  4. Step 4: Simplify right side
    14,295x = 163,813,005.18
  5. Step 5: Solve for x
    x = 163,813,005.18/14,295
  6. Step 6: Final answer
    x = 11,459.46

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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.