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Finding the Fourth Proportional to 3,885.55, 5,830.95 and 1,421.12

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Solution

The fourth proportional to 3,885.55, 5,830.95 and 1,421.12 is: 2,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.55 : 5,830.95 = 1,421.12 : x
  2. Step 2: Convert to fraction form
    3,885.55/5,830.95 = 1,421.12/x
  3. Step 3: Cross multiply
    3,885.55x = 5,830.95 × 1,421.12
  4. Step 4: Simplify right side
    3,885.55x = 8,286,479.66
  5. Step 5: Solve for x
    x = 8,286,479.66/3,885.55
  6. Step 6: Final answer
    x = 2,132.64

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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.