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Finding the Fourth Proportional to 12,384, 17,090.64 and 7,080.48

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Solution

The fourth proportional to 12,384, 17,090.64 and 7,080.48 is: 9,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 17,090.64 = 7,080.48 : x
  2. Step 2: Convert to fraction form
    12,384/17,090.64 = 7,080.48/x
  3. Step 3: Cross multiply
    12,384x = 17,090.64 × 7,080.48
  4. Step 4: Simplify right side
    12,384x = 121,009,934.71
  5. Step 5: Solve for x
    x = 121,009,934.71/12,384
  6. Step 6: Final answer
    x = 9,771.47

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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.