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Finding the Fourth Proportional to 3,438.99, 4,746.51 and 1,946.97

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Solution

The fourth proportional to 3,438.99, 4,746.51 and 1,946.97 is: 2,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.99 : 4,746.51 = 1,946.97 : x
  2. Step 2: Convert to fraction form
    3,438.99/4,746.51 = 1,946.97/x
  3. Step 3: Cross multiply
    3,438.99x = 4,746.51 × 1,946.97
  4. Step 4: Simplify right side
    3,438.99x = 9,241,312.57
  5. Step 5: Solve for x
    x = 9,241,312.57/3,438.99
  6. Step 6: Final answer
    x = 2,687.22

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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.