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Finding the Fourth Proportional to 5,919.80, 8,878.16 and 1,758.69

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Solution

The fourth proportional to 5,919.80, 8,878.16 and 1,758.69 is: 2,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.80 : 8,878.16 = 1,758.69 : x
  2. Step 2: Convert to fraction form
    5,919.80/8,878.16 = 1,758.69/x
  3. Step 3: Cross multiply
    5,919.80x = 8,878.16 × 1,758.69
  4. Step 4: Simplify right side
    5,919.80x = 15,613,931.21
  5. Step 5: Solve for x
    x = 15,613,931.21/5,919.80
  6. Step 6: Final answer
    x = 2,637.58

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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.