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Finding the Fourth Proportional to 3,509.34, 5,264.03 and 912.28

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Solution

The fourth proportional to 3,509.34, 5,264.03 and 912.28 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.34 : 5,264.03 = 912.28 : x
  2. Step 2: Convert to fraction form
    3,509.34/5,264.03 = 912.28/x
  3. Step 3: Cross multiply
    3,509.34x = 5,264.03 × 912.28
  4. Step 4: Simplify right side
    3,509.34x = 4,802,269.29
  5. Step 5: Solve for x
    x = 4,802,269.29/3,509.34
  6. Step 6: Final answer
    x = 1,368.43

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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.