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Finding the Fourth Proportional to 5,810.76, 8,005.92 and 3,817.80

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Solution

The fourth proportional to 5,810.76, 8,005.92 and 3,817.80 is: 5,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.76 : 8,005.92 = 3,817.80 : x
  2. Step 2: Convert to fraction form
    5,810.76/8,005.92 = 3,817.80/x
  3. Step 3: Cross multiply
    5,810.76x = 8,005.92 × 3,817.80
  4. Step 4: Simplify right side
    5,810.76x = 30,565,001.38
  5. Step 5: Solve for x
    x = 30,565,001.38/5,810.76
  6. Step 6: Final answer
    x = 5,260.07

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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.