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Finding the Fourth Proportional to 2,135.84, 2,922.21 and 2,127.74

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Solution

The fourth proportional to 2,135.84, 2,922.21 and 2,127.74 is: 2,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.84 : 2,922.21 = 2,127.74 : x
  2. Step 2: Convert to fraction form
    2,135.84/2,922.21 = 2,127.74/x
  3. Step 3: Cross multiply
    2,135.84x = 2,922.21 × 2,127.74
  4. Step 4: Simplify right side
    2,135.84x = 6,217,688.49
  5. Step 5: Solve for x
    x = 6,217,688.49/2,135.84
  6. Step 6: Final answer
    x = 2,911.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.