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Finding the Fourth Proportional to 3,101.65, 4,280.70 and 1,775.88

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Solution

The fourth proportional to 3,101.65, 4,280.70 and 1,775.88 is: 2,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.65 : 4,280.70 = 1,775.88 : x
  2. Step 2: Convert to fraction form
    3,101.65/4,280.70 = 1,775.88/x
  3. Step 3: Cross multiply
    3,101.65x = 4,280.70 × 1,775.88
  4. Step 4: Simplify right side
    3,101.65x = 7,602,009.52
  5. Step 5: Solve for x
    x = 7,602,009.52/3,101.65
  6. Step 6: Final answer
    x = 2,450.96

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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.