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Finding the Fourth Proportional to 2,670.86, 3,680.23 and 2,271.13

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Solution

The fourth proportional to 2,670.86, 3,680.23 and 2,271.13 is: 3,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.86 : 3,680.23 = 2,271.13 : x
  2. Step 2: Convert to fraction form
    2,670.86/3,680.23 = 2,271.13/x
  3. Step 3: Cross multiply
    2,670.86x = 3,680.23 × 2,271.13
  4. Step 4: Simplify right side
    2,670.86x = 8,358,280.76
  5. Step 5: Solve for x
    x = 8,358,280.76/2,670.86
  6. Step 6: Final answer
    x = 3,129.43

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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.