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Finding the Fourth Proportional to 3,670.76, 5,506.14 and 2,639.50

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Solution

The fourth proportional to 3,670.76, 5,506.14 and 2,639.50 is: 3,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.76 : 5,506.14 = 2,639.50 : x
  2. Step 2: Convert to fraction form
    3,670.76/5,506.14 = 2,639.50/x
  3. Step 3: Cross multiply
    3,670.76x = 5,506.14 × 2,639.50
  4. Step 4: Simplify right side
    3,670.76x = 14,533,456.53
  5. Step 5: Solve for x
    x = 14,533,456.53/3,670.76
  6. Step 6: Final answer
    x = 3,959.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.