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Finding the Fourth Proportional to 12,971, 17,899.98 and 7,382

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Solution

The fourth proportional to 12,971, 17,899.98 and 7,382 is: 10,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971 : 17,899.98 = 7,382 : x
  2. Step 2: Convert to fraction form
    12,971/17,899.98 = 7,382/x
  3. Step 3: Cross multiply
    12,971x = 17,899.98 × 7,382
  4. Step 4: Simplify right side
    12,971x = 132,137,652.36
  5. Step 5: Solve for x
    x = 132,137,652.36/12,971
  6. Step 6: Final answer
    x = 10,187.16

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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.