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Finding the Fourth Proportional to 1,377.66, 1,900.19 and 973.24

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Solution

The fourth proportional to 1,377.66, 1,900.19 and 973.24 is: 1,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.66 : 1,900.19 = 973.24 : x
  2. Step 2: Convert to fraction form
    1,377.66/1,900.19 = 973.24/x
  3. Step 3: Cross multiply
    1,377.66x = 1,900.19 × 973.24
  4. Step 4: Simplify right side
    1,377.66x = 1,849,338.60
  5. Step 5: Solve for x
    x = 1,849,338.60/1,377.66
  6. Step 6: Final answer
    x = 1,342.37

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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.