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Finding the Fourth Proportional to 6,459.12, 8,913.84 and 3,806.40

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Solution

The fourth proportional to 6,459.12, 8,913.84 and 3,806.40 is: 5,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.12 : 8,913.84 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    6,459.12/8,913.84 = 3,806.40/x
  3. Step 3: Cross multiply
    6,459.12x = 8,913.84 × 3,806.40
  4. Step 4: Simplify right side
    6,459.12x = 33,929,640.58
  5. Step 5: Solve for x
    x = 33,929,640.58/6,459.12
  6. Step 6: Final answer
    x = 5,252.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.