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Finding the Fourth Proportional to 2,661.95, 3,670.76 and 2,290.16

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Solution

The fourth proportional to 2,661.95, 3,670.76 and 2,290.16 is: 3,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.95 : 3,670.76 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    2,661.95/3,670.76 = 2,290.16/x
  3. Step 3: Cross multiply
    2,661.95x = 3,670.76 × 2,290.16
  4. Step 4: Simplify right side
    2,661.95x = 8,406,597.92
  5. Step 5: Solve for x
    x = 8,406,597.92/2,661.95
  6. Step 6: Final answer
    x = 3,158.07

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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.