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Finding the Fourth Proportional to 11,316.76, 15,616.98 and 6,281

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Solution

The fourth proportional to 11,316.76, 15,616.98 and 6,281 is: 8,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.76 : 15,616.98 = 6,281 : x
  2. Step 2: Convert to fraction form
    11,316.76/15,616.98 = 6,281/x
  3. Step 3: Cross multiply
    11,316.76x = 15,616.98 × 6,281
  4. Step 4: Simplify right side
    11,316.76x = 98,090,251.38
  5. Step 5: Solve for x
    x = 98,090,251.38/11,316.76
  6. Step 6: Final answer
    x = 8,667.70

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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.