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Finding the Fourth Proportional to 7,877.08, 10,859.76 and 6,753.16

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Solution

The fourth proportional to 7,877.08, 10,859.76 and 6,753.16 is: 9,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.08 : 10,859.76 = 6,753.16 : x
  2. Step 2: Convert to fraction form
    7,877.08/10,859.76 = 6,753.16/x
  3. Step 3: Cross multiply
    7,877.08x = 10,859.76 × 6,753.16
  4. Step 4: Simplify right side
    7,877.08x = 73,337,696.84
  5. Step 5: Solve for x
    x = 73,337,696.84/7,877.08
  6. Step 6: Final answer
    x = 9,310.26

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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.