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Finding the Fourth Proportional to 2,947.84, 4,422.40 and 973.55

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Solution

The fourth proportional to 2,947.84, 4,422.40 and 973.55 is: 1,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.84 : 4,422.40 = 973.55 : x
  2. Step 2: Convert to fraction form
    2,947.84/4,422.40 = 973.55/x
  3. Step 3: Cross multiply
    2,947.84x = 4,422.40 × 973.55
  4. Step 4: Simplify right side
    2,947.84x = 4,305,436.14
  5. Step 5: Solve for x
    x = 4,305,436.14/2,947.84
  6. Step 6: Final answer
    x = 1,460.54

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1.5x scale

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.