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Finding the Fourth Proportional to 2,451.04, 3,677.68 and 912.16

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Solution

The fourth proportional to 2,451.04, 3,677.68 and 912.16 is: 1,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.04 : 3,677.68 = 912.16 : x
  2. Step 2: Convert to fraction form
    2,451.04/3,677.68 = 912.16/x
  3. Step 3: Cross multiply
    2,451.04x = 3,677.68 × 912.16
  4. Step 4: Simplify right side
    2,451.04x = 3,354,632.59
  5. Step 5: Solve for x
    x = 3,354,632.59/2,451.04
  6. Step 6: Final answer
    x = 1,368.66

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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.