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Finding the Fourth Proportional to 6,490.66, 8,957.12 and 3,506.49

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Solution

The fourth proportional to 6,490.66, 8,957.12 and 3,506.49 is: 4,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.66 : 8,957.12 = 3,506.49 : x
  2. Step 2: Convert to fraction form
    6,490.66/8,957.12 = 3,506.49/x
  3. Step 3: Cross multiply
    6,490.66x = 8,957.12 × 3,506.49
  4. Step 4: Simplify right side
    6,490.66x = 31,408,065.34
  5. Step 5: Solve for x
    x = 31,408,065.34/6,490.66
  6. Step 6: Final answer
    x = 4,838.96

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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.