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Finding the Fourth Proportional to 12,688.46, 17,509.90 and 7,022.78

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Solution

The fourth proportional to 12,688.46, 17,509.90 and 7,022.78 is: 9,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.46 : 17,509.90 = 7,022.78 : x
  2. Step 2: Convert to fraction form
    12,688.46/17,509.90 = 7,022.78/x
  3. Step 3: Cross multiply
    12,688.46x = 17,509.90 × 7,022.78
  4. Step 4: Simplify right side
    12,688.46x = 122,968,175.52
  5. Step 5: Solve for x
    x = 122,968,175.52/12,688.46
  6. Step 6: Final answer
    x = 9,691.34

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1.5x scale

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.