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Finding the Fourth Proportional to 16,971.56, 23,419.14 and 9,417.56

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Solution

The fourth proportional to 16,971.56, 23,419.14 and 9,417.56 is: 12,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.56 : 23,419.14 = 9,417.56 : x
  2. Step 2: Convert to fraction form
    16,971.56/23,419.14 = 9,417.56/x
  3. Step 3: Cross multiply
    16,971.56x = 23,419.14 × 9,417.56
  4. Step 4: Simplify right side
    16,971.56x = 220,551,156.10
  5. Step 5: Solve for x
    x = 220,551,156.10/16,971.56
  6. Step 6: Final answer
    x = 12,995.34

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1.5x scale

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.