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Finding the Fourth Proportional to 6,461.74, 8,921.48 and 4,966.90

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Solution

The fourth proportional to 6,461.74, 8,921.48 and 4,966.90 is: 6,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.74 : 8,921.48 = 4,966.90 : x
  2. Step 2: Convert to fraction form
    6,461.74/8,921.48 = 4,966.90/x
  3. Step 3: Cross multiply
    6,461.74x = 8,921.48 × 4,966.90
  4. Step 4: Simplify right side
    6,461.74x = 44,312,099.01
  5. Step 5: Solve for x
    x = 44,312,099.01/6,461.74
  6. Step 6: Final answer
    x = 6,857.61

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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.