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Finding the Fourth Proportional to 12,807.25, 17,678.87 and 8,617.93

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Solution

The fourth proportional to 12,807.25, 17,678.87 and 8,617.93 is: 11,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.25 : 17,678.87 = 8,617.93 : x
  2. Step 2: Convert to fraction form
    12,807.25/17,678.87 = 8,617.93/x
  3. Step 3: Cross multiply
    12,807.25x = 17,678.87 × 8,617.93
  4. Step 4: Simplify right side
    12,807.25x = 152,355,264.14
  5. Step 5: Solve for x
    x = 152,355,264.14/12,807.25
  6. Step 6: Final answer
    x = 11,896.02

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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.