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Finding the Fourth Proportional to 12,465.70, 17,203.06 and 7,161.58

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Solution

The fourth proportional to 12,465.70, 17,203.06 and 7,161.58 is: 9,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.70 : 17,203.06 = 7,161.58 : x
  2. Step 2: Convert to fraction form
    12,465.70/17,203.06 = 7,161.58/x
  3. Step 3: Cross multiply
    12,465.70x = 17,203.06 × 7,161.58
  4. Step 4: Simplify right side
    12,465.70x = 123,201,090.43
  5. Step 5: Solve for x
    x = 123,201,090.43/12,465.70
  6. Step 6: Final answer
    x = 9,883.21

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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.