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Finding the Fourth Proportional to 16,869, 23,279.24 and 9,417

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Solution

The fourth proportional to 16,869, 23,279.24 and 9,417 is: 12,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869 : 23,279.24 = 9,417 : x
  2. Step 2: Convert to fraction form
    16,869/23,279.24 = 9,417/x
  3. Step 3: Cross multiply
    16,869x = 23,279.24 × 9,417
  4. Step 4: Simplify right side
    16,869x = 219,220,603.08
  5. Step 5: Solve for x
    x = 219,220,603.08/16,869
  6. Step 6: Final answer
    x = 12,995.47

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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.