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Finding the Fourth Proportional to 12,883.38, 17,775.99 and 7,847.52

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Solution

The fourth proportional to 12,883.38, 17,775.99 and 7,847.52 is: 10,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.38 : 17,775.99 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    12,883.38/17,775.99 = 7,847.52/x
  3. Step 3: Cross multiply
    12,883.38x = 17,775.99 × 7,847.52
  4. Step 4: Simplify right side
    12,883.38x = 139,497,437.04
  5. Step 5: Solve for x
    x = 139,497,437.04/12,883.38
  6. Step 6: Final answer
    x = 10,827.70

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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.