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Finding the Fourth Proportional to 2,767.48, 4,151.22 and 1,899.16

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Solution

The fourth proportional to 2,767.48, 4,151.22 and 1,899.16 is: 2,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.48 : 4,151.22 = 1,899.16 : x
  2. Step 2: Convert to fraction form
    2,767.48/4,151.22 = 1,899.16/x
  3. Step 3: Cross multiply
    2,767.48x = 4,151.22 × 1,899.16
  4. Step 4: Simplify right side
    2,767.48x = 7,883,830.98
  5. Step 5: Solve for x
    x = 7,883,830.98/2,767.48
  6. Step 6: Final answer
    x = 2,848.74

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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.