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Finding the Fourth Proportional to 3,510.99, 5,266.53 and 913.95

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Solution

The fourth proportional to 3,510.99, 5,266.53 and 913.95 is: 1,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.99 : 5,266.53 = 913.95 : x
  2. Step 2: Convert to fraction form
    3,510.99/5,266.53 = 913.95/x
  3. Step 3: Cross multiply
    3,510.99x = 5,266.53 × 913.95
  4. Step 4: Simplify right side
    3,510.99x = 4,813,345.09
  5. Step 5: Solve for x
    x = 4,813,345.09/3,510.99
  6. Step 6: Final answer
    x = 1,370.94

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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.