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Finding the Fourth Proportional to 1,039.13, 1,551.09 and 916.11

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Solution

The fourth proportional to 1,039.13, 1,551.09 and 916.11 is: 1,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.13 : 1,551.09 = 916.11 : x
  2. Step 2: Convert to fraction form
    1,039.13/1,551.09 = 916.11/x
  3. Step 3: Cross multiply
    1,039.13x = 1,551.09 × 916.11
  4. Step 4: Simplify right side
    1,039.13x = 1,420,969.06
  5. Step 5: Solve for x
    x = 1,420,969.06/1,039.13
  6. Step 6: Final answer
    x = 1,367.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.