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Finding the Fourth Proportional to 2,969.67, 4,432.57 and 2,619.47

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Solution

The fourth proportional to 2,969.67, 4,432.57 and 2,619.47 is: 3,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.67 : 4,432.57 = 2,619.47 : x
  2. Step 2: Convert to fraction form
    2,969.67/4,432.57 = 2,619.47/x
  3. Step 3: Cross multiply
    2,969.67x = 4,432.57 × 2,619.47
  4. Step 4: Simplify right side
    2,969.67x = 11,610,984.14
  5. Step 5: Solve for x
    x = 11,610,984.14/2,969.67
  6. Step 6: Final answer
    x = 3,909.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.