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Finding the Fourth Proportional to 12,783.22, 17,639.58 and 7,477

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Solution

The fourth proportional to 12,783.22, 17,639.58 and 7,477 is: 10,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.22 : 17,639.58 = 7,477 : x
  2. Step 2: Convert to fraction form
    12,783.22/17,639.58 = 7,477/x
  3. Step 3: Cross multiply
    12,783.22x = 17,639.58 × 7,477
  4. Step 4: Simplify right side
    12,783.22x = 131,891,139.66
  5. Step 5: Solve for x
    x = 131,891,139.66/12,783.22
  6. Step 6: Final answer
    x = 10,317.52

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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.