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Finding the Fourth Proportional to 9,322, 12,864.40 and 5,130.64

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Solution

The fourth proportional to 9,322, 12,864.40 and 5,130.64 is: 7,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322 : 12,864.40 = 5,130.64 : x
  2. Step 2: Convert to fraction form
    9,322/12,864.40 = 5,130.64/x
  3. Step 3: Cross multiply
    9,322x = 12,864.40 × 5,130.64
  4. Step 4: Simplify right side
    9,322x = 66,002,605.22
  5. Step 5: Solve for x
    x = 66,002,605.22/9,322
  6. Step 6: Final answer
    x = 7,080.31

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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.