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Finding the Fourth Proportional to 20,746.92, 28,631.34 and 11,316

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Solution

The fourth proportional to 20,746.92, 28,631.34 and 11,316 is: 15,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746.92 : 28,631.34 = 11,316 : x
  2. Step 2: Convert to fraction form
    20,746.92/28,631.34 = 11,316/x
  3. Step 3: Cross multiply
    20,746.92x = 28,631.34 × 11,316
  4. Step 4: Simplify right side
    20,746.92x = 323,992,243.44
  5. Step 5: Solve for x
    x = 323,992,243.44/20,746.92
  6. Step 6: Final answer
    x = 15,616.40

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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.