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Finding the Fourth Proportional to 6,190.77, 9,286 and 1,510.81

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Solution

The fourth proportional to 6,190.77, 9,286 and 1,510.81 is: 2,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.77 : 9,286 = 1,510.81 : x
  2. Step 2: Convert to fraction form
    6,190.77/9,286 = 1,510.81/x
  3. Step 3: Cross multiply
    6,190.77x = 9,286 × 1,510.81
  4. Step 4: Simplify right side
    6,190.77x = 14,029,381.66
  5. Step 5: Solve for x
    x = 14,029,381.66/6,190.77
  6. Step 6: Final answer
    x = 2,266.18

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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.