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Finding the Fourth Proportional to 2,135.76, 2,945.34 and 2,051.52

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Solution

The fourth proportional to 2,135.76, 2,945.34 and 2,051.52 is: 2,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.76 : 2,945.34 = 2,051.52 : x
  2. Step 2: Convert to fraction form
    2,135.76/2,945.34 = 2,051.52/x
  3. Step 3: Cross multiply
    2,135.76x = 2,945.34 × 2,051.52
  4. Step 4: Simplify right side
    2,135.76x = 6,042,423.92
  5. Step 5: Solve for x
    x = 6,042,423.92/2,135.76
  6. Step 6: Final answer
    x = 2,829.17

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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.