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Finding the Fourth Proportional to 7,674.87, 11,510.16 and 3,291.28

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Solution

The fourth proportional to 7,674.87, 11,510.16 and 3,291.28 is: 4,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.87 : 11,510.16 = 3,291.28 : x
  2. Step 2: Convert to fraction form
    7,674.87/11,510.16 = 3,291.28/x
  3. Step 3: Cross multiply
    7,674.87x = 11,510.16 × 3,291.28
  4. Step 4: Simplify right side
    7,674.87x = 37,883,159.40
  5. Step 5: Solve for x
    x = 37,883,159.40/7,674.87
  6. Step 6: Final answer
    x = 4,936.00

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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.