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Finding the Fourth Proportional to 12,908.93, 17,814.34 and 7,242.90

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Solution

The fourth proportional to 12,908.93, 17,814.34 and 7,242.90 is: 9,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.93 : 17,814.34 = 7,242.90 : x
  2. Step 2: Convert to fraction form
    12,908.93/17,814.34 = 7,242.90/x
  3. Step 3: Cross multiply
    12,908.93x = 17,814.34 × 7,242.90
  4. Step 4: Simplify right side
    12,908.93x = 129,027,465.08
  5. Step 5: Solve for x
    x = 129,027,465.08/12,908.93
  6. Step 6: Final answer
    x = 9,995.21

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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.