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Finding the Fourth Proportional to 3,510.72, 5,266.09 and 913.66

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Solution

The fourth proportional to 3,510.72, 5,266.09 and 913.66 is: 1,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.72 : 5,266.09 = 913.66 : x
  2. Step 2: Convert to fraction form
    3,510.72/5,266.09 = 913.66/x
  3. Step 3: Cross multiply
    3,510.72x = 5,266.09 × 913.66
  4. Step 4: Simplify right side
    3,510.72x = 4,811,389.46
  5. Step 5: Solve for x
    x = 4,811,389.46/3,510.72
  6. Step 6: Final answer
    x = 1,370.49

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1.5x scale

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.