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Finding the Fourth Proportional to 3,510.94, 5,266.44 and 913.88

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Solution

The fourth proportional to 3,510.94, 5,266.44 and 913.88 is: 1,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.94 : 5,266.44 = 913.88 : x
  2. Step 2: Convert to fraction form
    3,510.94/5,266.44 = 913.88/x
  3. Step 3: Cross multiply
    3,510.94x = 5,266.44 × 913.88
  4. Step 4: Simplify right side
    3,510.94x = 4,812,894.19
  5. Step 5: Solve for x
    x = 4,812,894.19/3,510.94
  6. Step 6: Final answer
    x = 1,370.83

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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.