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Finding the Fourth Proportional to 1,281.37, 1,917.06 and 974.11

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Solution

The fourth proportional to 1,281.37, 1,917.06 and 974.11 is: 1,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.37 : 1,917.06 = 974.11 : x
  2. Step 2: Convert to fraction form
    1,281.37/1,917.06 = 974.11/x
  3. Step 3: Cross multiply
    1,281.37x = 1,917.06 × 974.11
  4. Step 4: Simplify right side
    1,281.37x = 1,867,427.32
  5. Step 5: Solve for x
    x = 1,867,427.32/1,281.37
  6. Step 6: Final answer
    x = 1,457.37

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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.