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Finding the Fourth Proportional to 6,490.94, 8,957.51 and 3,506.78

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Solution

The fourth proportional to 6,490.94, 8,957.51 and 3,506.78 is: 4,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.94 : 8,957.51 = 3,506.78 : x
  2. Step 2: Convert to fraction form
    6,490.94/8,957.51 = 3,506.78/x
  3. Step 3: Cross multiply
    6,490.94x = 8,957.51 × 3,506.78
  4. Step 4: Simplify right side
    6,490.94x = 31,411,954.60
  5. Step 5: Solve for x
    x = 31,411,954.60/6,490.94
  6. Step 6: Final answer
    x = 4,839.35

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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.