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Finding the Fourth Proportional to 2,135.84, 2,948.82 and 1,743.80

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Solution

The fourth proportional to 2,135.84, 2,948.82 and 1,743.80 is: 2,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.84 : 2,948.82 = 1,743.80 : x
  2. Step 2: Convert to fraction form
    2,135.84/2,948.82 = 1,743.80/x
  3. Step 3: Cross multiply
    2,135.84x = 2,948.82 × 1,743.80
  4. Step 4: Simplify right side
    2,135.84x = 5,142,152.32
  5. Step 5: Solve for x
    x = 5,142,152.32/2,135.84
  6. Step 6: Final answer
    x = 2,407.56

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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.