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Finding the Fourth Proportional to 12,883.59, 17,775.32 and 7,217.58

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Solution

The fourth proportional to 12,883.59, 17,775.32 and 7,217.58 is: 9,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.59 : 17,775.32 = 7,217.58 : x
  2. Step 2: Convert to fraction form
    12,883.59/17,775.32 = 7,217.58/x
  3. Step 3: Cross multiply
    12,883.59x = 17,775.32 × 7,217.58
  4. Step 4: Simplify right side
    12,883.59x = 128,294,794.13
  5. Step 5: Solve for x
    x = 128,294,794.13/12,883.59
  6. Step 6: Final answer
    x = 9,958.00

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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.