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Finding the Fourth Proportional to 5,210.29, 7,815.00 and 2,047.80

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Solution

The fourth proportional to 5,210.29, 7,815.00 and 2,047.80 is: 3,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.29 : 7,815.00 = 2,047.80 : x
  2. Step 2: Convert to fraction form
    5,210.29/7,815.00 = 2,047.80/x
  3. Step 3: Cross multiply
    5,210.29x = 7,815.00 × 2,047.80
  4. Step 4: Simplify right side
    5,210.29x = 16,003,507.69
  5. Step 5: Solve for x
    x = 16,003,507.69/5,210.29
  6. Step 6: Final answer
    x = 3,071.52

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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.