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Finding the Fourth Proportional to 2,829.57, 3,905 and 1,570.61

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Solution

The fourth proportional to 2,829.57, 3,905 and 1,570.61 is: 2,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.57 : 3,905 = 1,570.61 : x
  2. Step 2: Convert to fraction form
    2,829.57/3,905 = 1,570.61/x
  3. Step 3: Cross multiply
    2,829.57x = 3,905 × 1,570.61
  4. Step 4: Simplify right side
    2,829.57x = 6,133,232.05
  5. Step 5: Solve for x
    x = 6,133,232.05/2,829.57
  6. Step 6: Final answer
    x = 2,167.55

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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.