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Finding the Fourth Proportional to 3,460.58, 4,774.24 and 1,947.80

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Solution

The fourth proportional to 3,460.58, 4,774.24 and 1,947.80 is: 2,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.58 : 4,774.24 = 1,947.80 : x
  2. Step 2: Convert to fraction form
    3,460.58/4,774.24 = 1,947.80/x
  3. Step 3: Cross multiply
    3,460.58x = 4,774.24 × 1,947.80
  4. Step 4: Simplify right side
    3,460.58x = 9,299,264.67
  5. Step 5: Solve for x
    x = 9,299,264.67/3,460.58
  6. Step 6: Final answer
    x = 2,687.20

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1.5x scale

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.