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Finding the Fourth Proportional to 7,810.65, 11,686.82 and 7,723.17

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Solution

The fourth proportional to 7,810.65, 11,686.82 and 7,723.17 is: 11,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.65 : 11,686.82 = 7,723.17 : x
  2. Step 2: Convert to fraction form
    7,810.65/11,686.82 = 7,723.17/x
  3. Step 3: Cross multiply
    7,810.65x = 11,686.82 × 7,723.17
  4. Step 4: Simplify right side
    7,810.65x = 90,259,259.00
  5. Step 5: Solve for x
    x = 90,259,259.00/7,810.65
  6. Step 6: Final answer
    x = 11,555.92

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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.