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Finding the Fourth Proportional to 12,465.19, 17,201.97 and 7,159.64

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Solution

The fourth proportional to 12,465.19, 17,201.97 and 7,159.64 is: 9,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.19 : 17,201.97 = 7,159.64 : x
  2. Step 2: Convert to fraction form
    12,465.19/17,201.97 = 7,159.64/x
  3. Step 3: Cross multiply
    12,465.19x = 17,201.97 × 7,159.64
  4. Step 4: Simplify right side
    12,465.19x = 123,159,923.24
  5. Step 5: Solve for x
    x = 123,159,923.24/12,465.19
  6. Step 6: Final answer
    x = 9,880.31

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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.