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Finding the Fourth Proportional to 6,392.84, 8,821.14 and 4,038.20

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Solution

The fourth proportional to 6,392.84, 8,821.14 and 4,038.20 is: 5,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.84 : 8,821.14 = 4,038.20 : x
  2. Step 2: Convert to fraction form
    6,392.84/8,821.14 = 4,038.20/x
  3. Step 3: Cross multiply
    6,392.84x = 8,821.14 × 4,038.20
  4. Step 4: Simplify right side
    6,392.84x = 35,621,527.55
  5. Step 5: Solve for x
    x = 35,621,527.55/6,392.84
  6. Step 6: Final answer
    x = 5,572.10

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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.