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Finding the Fourth Proportional to 12,398.99, 17,105.76 and 7,090.97

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Solution

The fourth proportional to 12,398.99, 17,105.76 and 7,090.97 is: 9,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.99 : 17,105.76 = 7,090.97 : x
  2. Step 2: Convert to fraction form
    12,398.99/17,105.76 = 7,090.97/x
  3. Step 3: Cross multiply
    12,398.99x = 17,105.76 × 7,090.97
  4. Step 4: Simplify right side
    12,398.99x = 121,296,345.46
  5. Step 5: Solve for x
    x = 121,296,345.46/12,398.99
  6. Step 6: Final answer
    x = 9,782.76

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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.