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Finding the Fourth Proportional to 10,876.72, 16,302.84 and 6,485

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Solution

The fourth proportional to 10,876.72, 16,302.84 and 6,485 is: 9,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.72 : 16,302.84 = 6,485 : x
  2. Step 2: Convert to fraction form
    10,876.72/16,302.84 = 6,485/x
  3. Step 3: Cross multiply
    10,876.72x = 16,302.84 × 6,485
  4. Step 4: Simplify right side
    10,876.72x = 105,723,917.40
  5. Step 5: Solve for x
    x = 105,723,917.40/10,876.72
  6. Step 6: Final answer
    x = 9,720.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.