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Finding the Fourth Proportional to 3,438.94, 4,746 and 1,947.01

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Solution

The fourth proportional to 3,438.94, 4,746 and 1,947.01 is: 2,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.94 : 4,746 = 1,947.01 : x
  2. Step 2: Convert to fraction form
    3,438.94/4,746 = 1,947.01/x
  3. Step 3: Cross multiply
    3,438.94x = 4,746 × 1,947.01
  4. Step 4: Simplify right side
    3,438.94x = 9,240,509.46
  5. Step 5: Solve for x
    x = 9,240,509.46/3,438.94
  6. Step 6: Final answer
    x = 2,687.02

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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.