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Finding the Fourth Proportional to 9,240.84, 12,762.94 and 6,734.20

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Solution

The fourth proportional to 9,240.84, 12,762.94 and 6,734.20 is: 9,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.84 : 12,762.94 = 6,734.20 : x
  2. Step 2: Convert to fraction form
    9,240.84/12,762.94 = 6,734.20/x
  3. Step 3: Cross multiply
    9,240.84x = 12,762.94 × 6,734.20
  4. Step 4: Simplify right side
    9,240.84x = 85,948,190.55
  5. Step 5: Solve for x
    x = 85,948,190.55/9,240.84
  6. Step 6: Final answer
    x = 9,300.91

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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.