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Finding the Fourth Proportional to 2,670.57, 3,674.57 and 2,605.77

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Solution

The fourth proportional to 2,670.57, 3,674.57 and 2,605.77 is: 3,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.57 : 3,674.57 = 2,605.77 : x
  2. Step 2: Convert to fraction form
    2,670.57/3,674.57 = 2,605.77/x
  3. Step 3: Cross multiply
    2,670.57x = 3,674.57 × 2,605.77
  4. Step 4: Simplify right side
    2,670.57x = 9,575,071.24
  5. Step 5: Solve for x
    x = 9,575,071.24/2,670.57
  6. Step 6: Final answer
    x = 3,585.40

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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.