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Finding the Fourth Proportional to 7,807.86, 10,776.16 and 6,141.96

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Solution

The fourth proportional to 7,807.86, 10,776.16 and 6,141.96 is: 8,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.86 : 10,776.16 = 6,141.96 : x
  2. Step 2: Convert to fraction form
    7,807.86/10,776.16 = 6,141.96/x
  3. Step 3: Cross multiply
    7,807.86x = 10,776.16 × 6,141.96
  4. Step 4: Simplify right side
    7,807.86x = 66,186,743.67
  5. Step 5: Solve for x
    x = 66,186,743.67/7,807.86
  6. Step 6: Final answer
    x = 8,476.94

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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.