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Finding the Fourth Proportional to 1,919.68, 2,877.84 and 766.24

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Solution

The fourth proportional to 1,919.68, 2,877.84 and 766.24 is: 1,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.68 : 2,877.84 = 766.24 : x
  2. Step 2: Convert to fraction form
    1,919.68/2,877.84 = 766.24/x
  3. Step 3: Cross multiply
    1,919.68x = 2,877.84 × 766.24
  4. Step 4: Simplify right side
    1,919.68x = 2,205,116.12
  5. Step 5: Solve for x
    x = 2,205,116.12/1,919.68
  6. Step 6: Final answer
    x = 1,148.69

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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.