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Finding the Fourth Proportional to 14,037.76, 21,057 and 6,645.68

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Solution

The fourth proportional to 14,037.76, 21,057 and 6,645.68 is: 9,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.76 : 21,057 = 6,645.68 : x
  2. Step 2: Convert to fraction form
    14,037.76/21,057 = 6,645.68/x
  3. Step 3: Cross multiply
    14,037.76x = 21,057 × 6,645.68
  4. Step 4: Simplify right side
    14,037.76x = 139,938,083.76
  5. Step 5: Solve for x
    x = 139,938,083.76/14,037.76
  6. Step 6: Final answer
    x = 9,968.69

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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.