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Finding the Fourth Proportional to 6,476.90, 8,951.92 and 5,709.02

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Solution

The fourth proportional to 6,476.90, 8,951.92 and 5,709.02 is: 7,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.90 : 8,951.92 = 5,709.02 : x
  2. Step 2: Convert to fraction form
    6,476.90/8,951.92 = 5,709.02/x
  3. Step 3: Cross multiply
    6,476.90x = 8,951.92 × 5,709.02
  4. Step 4: Simplify right side
    6,476.90x = 51,106,631.29
  5. Step 5: Solve for x
    x = 51,106,631.29/6,476.90
  6. Step 6: Final answer
    x = 7,890.61

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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.