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Finding the Fourth Proportional to 1,357.11, 1,869.90 and 914.24

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Solution

The fourth proportional to 1,357.11, 1,869.90 and 914.24 is: 1,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.11 : 1,869.90 = 914.24 : x
  2. Step 2: Convert to fraction form
    1,357.11/1,869.90 = 914.24/x
  3. Step 3: Cross multiply
    1,357.11x = 1,869.90 × 914.24
  4. Step 4: Simplify right side
    1,357.11x = 1,709,528.03
  5. Step 5: Solve for x
    x = 1,709,528.03/1,357.11
  6. Step 6: Final answer
    x = 1,259.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.