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Finding the Fourth Proportional to 7,810.00, 11,715.14 and 3,648.87

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Solution

The fourth proportional to 7,810.00, 11,715.14 and 3,648.87 is: 5,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.00 : 11,715.14 = 3,648.87 : x
  2. Step 2: Convert to fraction form
    7,810.00/11,715.14 = 3,648.87/x
  3. Step 3: Cross multiply
    7,810.00x = 11,715.14 × 3,648.87
  4. Step 4: Simplify right side
    7,810.00x = 42,747,032.01
  5. Step 5: Solve for x
    x = 42,747,032.01/7,810.00
  6. Step 6: Final answer
    x = 5,473.37

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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.