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Finding the Fourth Proportional to 4,072, 5,618.76 and 2,303.57

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Solution

The fourth proportional to 4,072, 5,618.76 and 2,303.57 is: 3,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 5,618.76 = 2,303.57 : x
  2. Step 2: Convert to fraction form
    4,072/5,618.76 = 2,303.57/x
  3. Step 3: Cross multiply
    4,072x = 5,618.76 × 2,303.57
  4. Step 4: Simplify right side
    4,072x = 12,943,206.97
  5. Step 5: Solve for x
    x = 12,943,206.97/4,072
  6. Step 6: Final answer
    x = 3,178.59

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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.