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Finding the Fourth Proportional to 12,673.12, 17,488.66 and 7,008.36

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Solution

The fourth proportional to 12,673.12, 17,488.66 and 7,008.36 is: 9,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.12 : 17,488.66 = 7,008.36 : x
  2. Step 2: Convert to fraction form
    12,673.12/17,488.66 = 7,008.36/x
  3. Step 3: Cross multiply
    12,673.12x = 17,488.66 × 7,008.36
  4. Step 4: Simplify right side
    12,673.12x = 122,566,825.20
  5. Step 5: Solve for x
    x = 122,566,825.20/12,673.12
  6. Step 6: Final answer
    x = 9,671.40

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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.