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Finding the Fourth Proportional to 16,971, 23,419.98 and 10,347

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Solution

The fourth proportional to 16,971, 23,419.98 and 10,347 is: 14,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971 : 23,419.98 = 10,347 : x
  2. Step 2: Convert to fraction form
    16,971/23,419.98 = 10,347/x
  3. Step 3: Cross multiply
    16,971x = 23,419.98 × 10,347
  4. Step 4: Simplify right side
    16,971x = 242,326,533.06
  5. Step 5: Solve for x
    x = 242,326,533.06/16,971
  6. Step 6: Final answer
    x = 14,278.86

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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.