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Finding the Fourth Proportional to 12,998.57, 17,945.73 and 8,530.13

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Solution

The fourth proportional to 12,998.57, 17,945.73 and 8,530.13 is: 11,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.57 : 17,945.73 = 8,530.13 : x
  2. Step 2: Convert to fraction form
    12,998.57/17,945.73 = 8,530.13/x
  3. Step 3: Cross multiply
    12,998.57x = 17,945.73 × 8,530.13
  4. Step 4: Simplify right side
    12,998.57x = 153,079,454.71
  5. Step 5: Solve for x
    x = 153,079,454.71/12,998.57
  6. Step 6: Final answer
    x = 11,776.64

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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.