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Finding the Fourth Proportional to 12,689, 17,510.82 and 7,100

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Solution

The fourth proportional to 12,689, 17,510.82 and 7,100 is: 9,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689 : 17,510.82 = 7,100 : x
  2. Step 2: Convert to fraction form
    12,689/17,510.82 = 7,100/x
  3. Step 3: Cross multiply
    12,689x = 17,510.82 × 7,100
  4. Step 4: Simplify right side
    12,689x = 124,326,822
  5. Step 5: Solve for x
    x = 124,326,822/12,689
  6. Step 6: Final answer
    x = 9,798

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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.