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Finding the Fourth Proportional to 2,780.06, 4,166.91 and 930.74

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Solution

The fourth proportional to 2,780.06, 4,166.91 and 930.74 is: 1,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.06 : 4,166.91 = 930.74 : x
  2. Step 2: Convert to fraction form
    2,780.06/4,166.91 = 930.74/x
  3. Step 3: Cross multiply
    2,780.06x = 4,166.91 × 930.74
  4. Step 4: Simplify right side
    2,780.06x = 3,878,288.98
  5. Step 5: Solve for x
    x = 3,878,288.98/2,780.06
  6. Step 6: Final answer
    x = 1,395.04

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1.5x scale

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.