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Finding the Fourth Proportional to 2,947.70, 4,421.65 and 973.37

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Solution

The fourth proportional to 2,947.70, 4,421.65 and 973.37 is: 1,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.70 : 4,421.65 = 973.37 : x
  2. Step 2: Convert to fraction form
    2,947.70/4,421.65 = 973.37/x
  3. Step 3: Cross multiply
    2,947.70x = 4,421.65 × 973.37
  4. Step 4: Simplify right side
    2,947.70x = 4,303,910.08
  5. Step 5: Solve for x
    x = 4,303,910.08/2,947.70
  6. Step 6: Final answer
    x = 1,460.09

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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.