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Finding the Fourth Proportional to 12,776.79, 17,624.77 and 7,671

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Solution

The fourth proportional to 12,776.79, 17,624.77 and 7,671 is: 10,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.79 : 17,624.77 = 7,671 : x
  2. Step 2: Convert to fraction form
    12,776.79/17,624.77 = 7,671/x
  3. Step 3: Cross multiply
    12,776.79x = 17,624.77 × 7,671
  4. Step 4: Simplify right side
    12,776.79x = 135,199,610.67
  5. Step 5: Solve for x
    x = 135,199,610.67/12,776.79
  6. Step 6: Final answer
    x = 10,581.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.