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Finding the Fourth Proportional to 2,937.46, 4,405.77 and 856.91

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Solution

The fourth proportional to 2,937.46, 4,405.77 and 856.91 is: 1,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.46 : 4,405.77 = 856.91 : x
  2. Step 2: Convert to fraction form
    2,937.46/4,405.77 = 856.91/x
  3. Step 3: Cross multiply
    2,937.46x = 4,405.77 × 856.91
  4. Step 4: Simplify right side
    2,937.46x = 3,775,348.37
  5. Step 5: Solve for x
    x = 3,775,348.37/2,937.46
  6. Step 6: Final answer
    x = 1,285.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.