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Finding the Fourth Proportional to 1,954.02, 2,929.43 and 913.51

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Solution

The fourth proportional to 1,954.02, 2,929.43 and 913.51 is: 1,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.02 : 2,929.43 = 913.51 : x
  2. Step 2: Convert to fraction form
    1,954.02/2,929.43 = 913.51/x
  3. Step 3: Cross multiply
    1,954.02x = 2,929.43 × 913.51
  4. Step 4: Simplify right side
    1,954.02x = 2,676,069.54
  5. Step 5: Solve for x
    x = 2,676,069.54/1,954.02
  6. Step 6: Final answer
    x = 1,369.52

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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.