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Finding the Fourth Proportional to 16,768, 23,139.84 and 9,316

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Solution

The fourth proportional to 16,768, 23,139.84 and 9,316 is: 12,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768 : 23,139.84 = 9,316 : x
  2. Step 2: Convert to fraction form
    16,768/23,139.84 = 9,316/x
  3. Step 3: Cross multiply
    16,768x = 23,139.84 × 9,316
  4. Step 4: Simplify right side
    16,768x = 215,570,749.44
  5. Step 5: Solve for x
    x = 215,570,749.44/16,768
  6. Step 6: Final answer
    x = 12,856.08

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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.